Chapter 9 Random Variables And Distributions Statistics 11th Class Punjab MCQ Tests
11th Class Statistics Chapter 9 MCQ Tests
Chapter 9 of 11th Class Statistics has 30 questions. If you take an online MCQ test, the system will randomly choose the questions. If you want to take the quiz by chapter then click the start test button.
Total Questions: 30
Total Marks: 30
Time: 30 Mins
Total Questions: 30
Total Marks: 30
Time: 30 Mins
30Min : 00 Sec Remaining
Question # 1
The profit for a new product is given by Z = 3 X − Y − 5 , where X and Y are independent random variables with Var(X) = 1 and Var(Y) = 2. What is the variance of Z ?
Question # 2
If Var(X) = 4,Find the value of Var(2X+7) ?
Question # 3
Consider the gambling game in which the casino chooses to lower each payout by $1.00, then double each prize. If the new variance is 15.84 then what is the original variance ?
Question # 4
Two random variables are said to be independent if:
Question # 5
Class of variable which can accept any value within upper and lower limit is classified as:
Question # 6
Solve:
Question # 7
Value which is obtained by multiplying possible values of random variable with probability of occurrence and is equal to weighted average is known as:
Question # 8
The probability that there is at least one error is an accounts statement prepared by A is 0.2, for B and C they are 0.25 and 0.4 respectively. A, B, and C prepared 10, 16 and 20 statements respectively. Find the expected number of correct statements in all.
Question # 9
The share of a company has values 10, 20 and 25 of return of investment along with their respective probabilities 0.45, 0.35 and 0.20. What is the expected value of return on investment?
Question # 10
If Var(X) = 5 and Var(Y) = 10, then Var(2X + Y) is:
Question # 11
A suitable graph of probability function of a discrete random variable is:
Question # 12
Find the probability that the chemical a life from 0 to 5 days.
Question # 13
An insurance policy pays a total medical benefit consisting of a part paid to the surgeon, X , and a part paid to the hospital, Y , so that the total benefit is X + Y . Suppose that Var(X) = 5, 000, Var(Y) = 10, 000, and Var(X + Y) = 17, 000. If X is increased by a flat amount of 100, and Y is increased by 10%, what is the variance of the total benefit after these increases?
Question # 14
The outcome of tossing a coin three times are a variable of the type:
Question # 15
You are a space alien. You visit planet Earth and abduct 97 chickens, 47 cows, and 77 humans. Then, you randomly select one Earth creature from your sample to experiment on. Each creature has an equal probability of getting selected. Create a probability model.
Question # 16
When four coins are tossed, what are the values of the random variable (number of heads)?
Question # 17
Let X be the profit that a person makes in a business. He may earn Rs. 2800 with a probability 0.5, he may lose Rs 5500 with probability 0.3 and he may neither earn nor lose with a probability 0.2. Calculate E(X).
Question # 18
Find a using the trapezoidal rule.
Question # 19
What is Var(X) when X is outcome of one fair die?
Question # 20
Consider the following probability distribution:
Question # 21
How much would I have to charge each gambler to play in order to ensure that I made some money?
Question # 22
Solve:
Question # 23
The two-segment trapezoidal rule of integration is exact for integrating at most the polynomial of order:
Question # 24
Random numbers can be generated:
Question # 25
Find the CDF.
Question # 26
A consignment of machine parts is offered to two firms, "A" and "B", for Rs.75,000. The following table shows the probabilities at which the firms "A" and "B" will be able to sell the consignment at different prices: Prices (Rs.) at which Consignment can be sold are as:
Which firm, A or B will be more inclined towards this offer?
Question # 27
A set of numerical values assigned to a sample space are known as:
Question # 28
A service organization in a large town organizes a raffle each month. One thousand raffle tickets are sold for $1 each. Each has an equal chance of winning. First prize is $300, second prize is $200, and third prize is $100. Let X denote the net gain from the purchase of one ticket. Construct the probability distribution of X.
Question # 29
Beth earns $25.00 an hour for tutoring but spends $20.00 an hour for piano lessons. She saves the difference between her earnings for tutoring and the cost of the piano lessons. The numbers of hours she spends on each activity in one week vary independently according to the probability distributions shown below. The standard deviation of hours Beth spends in one week on piano lessons and tutoring is 0.831 and 1.11 hours. Likewise, the expected number of hours Beth spends tutoring is 2.6 with the standard deviation of 1.11 hours. What is the standard deviation of her weekly savings is if she spends $20 for each hour of piano lessons, Beth earns $25 for each hour of tutoring.
Question # 30
Find the value of Var(Y).
Total Questions
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Question # 1
The profit for a new product is given by Z = 3 X − Y − 5 , where X and Y are independent random variables with Var(X) = 1 and Var(Y) = 2. What is the variance of Z ?
Question # 2
If Var(X) = 4,Find the value of Var(2X+7) ?
Question # 3
Consider the gambling game in which the casino chooses to lower each payout by $1.00, then double each prize. If the new variance is 15.84 then what is the original variance ?
Question # 4
Two random variables are said to be independent if:
Question # 5
Class of variable which can accept any value within upper and lower limit is classified as:
Question # 6
Solve:
Question # 7
Value which is obtained by multiplying possible values of random variable with probability of occurrence and is equal to weighted average is known as:
Question # 8
The probability that there is at least one error is an accounts statement prepared by A is 0.2, for B and C they are 0.25 and 0.4 respectively. A, B, and C prepared 10, 16 and 20 statements respectively. Find the expected number of correct statements in all.
Question # 9
The share of a company has values 10, 20 and 25 of return of investment along with their respective probabilities 0.45, 0.35 and 0.20. What is the expected value of return on investment?
Question # 10
If Var(X) = 5 and Var(Y) = 10, then Var(2X + Y) is:
Question # 11
A suitable graph of probability function of a discrete random variable is:
Question # 12
Find the probability that the chemical a life from 0 to 5 days.
Question # 13
An insurance policy pays a total medical benefit consisting of a part paid to the surgeon, X , and a part paid to the hospital, Y , so that the total benefit is X + Y . Suppose that Var(X) = 5, 000, Var(Y) = 10, 000, and Var(X + Y) = 17, 000. If X is increased by a flat amount of 100, and Y is increased by 10%, what is the variance of the total benefit after these increases?
Question # 14
The outcome of tossing a coin three times are a variable of the type:
Question # 15
You are a space alien. You visit planet Earth and abduct 97 chickens, 47 cows, and 77 humans. Then, you randomly select one Earth creature from your sample to experiment on. Each creature has an equal probability of getting selected. Create a probability model.
Question # 16
When four coins are tossed, what are the values of the random variable (number of heads)?
Question # 17
Let X be the profit that a person makes in a business. He may earn Rs. 2800 with a probability 0.5, he may lose Rs 5500 with probability 0.3 and he may neither earn nor lose with a probability 0.2. Calculate E(X).
Question # 18
Find a using the trapezoidal rule.
Question # 19
What is Var(X) when X is outcome of one fair die?
Question # 20
Consider the following probability distribution:
Question # 21
How much would I have to charge each gambler to play in order to ensure that I made some money?
Question # 22
Solve:
Question # 23
The two-segment trapezoidal rule of integration is exact for integrating at most the polynomial of order:
Question # 24
Random numbers can be generated:
Question # 25
Find the CDF.
Question # 26
A consignment of machine parts is offered to two firms, "A" and "B", for Rs.75,000. The following table shows the probabilities at which the firms "A" and "B" will be able to sell the consignment at different prices: Prices (Rs.) at which Consignment can be sold are as:
Which firm, A or B will be more inclined towards this offer?
Question # 27
A set of numerical values assigned to a sample space are known as:
Question # 28
A service organization in a large town organizes a raffle each month. One thousand raffle tickets are sold for $1 each. Each has an equal chance of winning. First prize is $300, second prize is $200, and third prize is $100. Let X denote the net gain from the purchase of one ticket. Construct the probability distribution of X.
Question # 29
Beth earns $25.00 an hour for tutoring but spends $20.00 an hour for piano lessons. She saves the difference between her earnings for tutoring and the cost of the piano lessons. The numbers of hours she spends on each activity in one week vary independently according to the probability distributions shown below. The standard deviation of hours Beth spends in one week on piano lessons and tutoring is 0.831 and 1.11 hours. Likewise, the expected number of hours Beth spends tutoring is 2.6 with the standard deviation of 1.11 hours. What is the standard deviation of her weekly savings is if she spends $20 for each hour of piano lessons, Beth earns $25 for each hour of tutoring.
Question # 30
Find the value of Var(Y).
Total Questions
123456789101112131415161718192021222324252627282930
Statistics MCQ Test by Topics
- +9.1 Random Variables
- +9.2 Discrete Probability Distribution
- +9.3 Continuous Probability Distribution
- +9.4 The Expectation of Random Variable
- +9.5 Properties of Variances
- +9.6 Sum or Differences of Variances of Random Variables
Statistics
- Representation and Exploration of Data
- Measure of Central Tendency or Averages
- Measures of Dispersion
- Index Numbers
- Regression and Correlation Analysis
- Analysis of Time Series
- Set Theory
- Introduction to Probability
- Random Variables and Distributions
- Binomial and Hypergeometric Distributions
- The Normal Distribution
- Sampling and Sampling Distributions
- Statistical Inference:Estimation
- Statistical Inference:Hypothesis Testing
- Association of Attributes
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