200+ Probability-and-statistics Questions

Probability-and-statistics Questions Set 13:

Quiz Mode

In Poisson's distribution, the standard deviation is given by:

npq

√(np)

√(npq)

Solution:

In a frequency distribution, the mid-value of a class is 15, and the class interval is 4. What is the lower limit of the class?

Solution:

The relationship between mean deviation (MD) and standard deviation (SD) is given by:

MD = 5/4 × SD

MD = 4/5 × SD

SD = 4/5 × MD

SD = 5/4 × MD

Solution:

If the difference between the expectation of the square of a random variable and the square of the expectation of the random variable is denoted by V, then

V = 0

V ≥ 0

V < 0

V > 0

Solution:

If the probability of a defective calculator is 0.2, find the mean and standard deviation for the distribution of 400 defective calculators.

8 and 80 respectively

100 and 8 respectively

80 and 8 respectively

320 and 80 respectively

Solution:

The chance of students passing an exam is 25%. The chance of a student passing the exam and getting above 85% is 10%. Given that a student passes the examination, what is the probability that the student gets above 85% marks?

1/8

1/4

2/5

2/9

Solution:

The normal rate of infection of COVID-19 is known to be 25%. Scientists injected 6 people with a new vaccine for human trials. Calculate the probability that after taking the vaccine, none of them caught the infection.

0.178

0.0002

0.75

0.25

Solution:

There were 9 accidents that took place in a town during the month of April. Assuming that the number of accidents per day follows the Poisson distribution, find the probability that there will be two or more accidents per day.

0.9631

0.2592

0.5950

0.0369

Solution:

A straight line in the form of y=ax+b is to be fit for the data given below. What are the values of a and b?

x 5 10 15 20 25

y 16 19 23 26 30

a=0.7 and b=10

a=0.7 and b=12.3

a=7.3 and b=0.21

a=7.5 and b=12

Solution:

A box of cartridges contains 30 cartridges, of which 6 are defective. If 3 of the cartridges are removed from the box in succession without replacement, what is the probability that all 3 cartridges are defective?

(6 * 5 * 4)/(30 * 29 * 28)

(6 * 5 * 4)/(30 * 27 * 28)

(7* 5 * 4)/(30 * 27 * 28)

(7 * 5 * 4)/(31 * 29 * 28)

Probability-and-statistics Questions Set 13:

In Poisson's distribution, the standard deviation is given by:

Solution:

In a frequency distribution, the mid-value of a class is 15, and the class interval is 4. What is the lower limit of the class?

Solution:

The relationship between mean deviation (MD) and standard deviation (SD) is given by:

Solution:

If the difference between the expectation of the square of a random variable and the square of the expectation of the random variable is denoted by V, then

Solution:

If the probability of a defective calculator is 0.2, find the mean and standard deviation for the distribution of 400 defective calculators.

Solution:

The chance of students passing an exam is 25%. The chance of a student passing the exam and getting above 85% is 10%. Given that a student passes the examination, what is the probability that the student gets above 85% marks?

Solution:

The normal rate of infection of COVID-19 is known to be 25%. Scientists injected 6 people with a new vaccine for human trials. Calculate the probability that after taking the vaccine, none of them caught the infection.

Solution:

There were 9 accidents that took place in a town during the month of April. Assuming that the number of accidents per day follows the Poisson distribution, find the probability that there will be two or more accidents per day.

Solution:

A straight line in the form of y=ax+b is to be fit for the data given below. What are the values of a and b?

x 5 10 15 20 25

y 16 19 23 26 30

Solution:

A box of cartridges contains 30 cartridges, of which 6 are defective. If 3 of the cartridges are removed from the box in succession without replacement, what is the probability that all 3 cartridges are defective?

Solution:

Related Question Sets:

Related Topics:

Probability-and-statistics Questions Set 13:

In Poisson's distribution, the standard deviation is given by:

Solution:

In a frequency distribution, the mid-value of a class is 15, and the class interval is 4. What is the lower limit of the class?

Solution:

The relationship between mean deviation (MD) and standard deviation (SD) is given by:

Solution:

If the difference between the expectation of the square of a random variable and the square of the expectation of the random variable is denoted by V, then

Solution:

If the probability of a defective calculator is 0.2, find the mean and standard deviation for the distribution of 400 defective calculators.

Solution:

The chance of students passing an exam is 25%. The chance of a student passing the exam and getting above 85% is 10%. Given that a student passes the examination, what is the probability that the student gets above 85% marks?

Solution:

The normal rate of infection of COVID-19 is known to be 25%. Scientists injected 6 people with a new vaccine for human trials. Calculate the probability that after taking the vaccine, none of them caught the infection.

Solution:

There were 9 accidents that took place in a town during the month of April. Assuming that the number of accidents per day follows the Poisson distribution, find the probability that there will be two or more accidents per day.

Solution:

A straight line in the form of y=ax+b is to be fit for the data given below. What are the values of a and b? x 5 10 15 20 25 y 16 19 23 26 30

Solution:

A box of cartridges contains 30 cartridges, of which 6 are defective. If 3 of the cartridges are removed from the box in succession without replacement, what is the probability that all 3 cartridges are defective?

Solution:

Related Question Sets:

Related Topics:

A straight line in the form of y=ax+b is to be fit for the data given below. What are the values of a and b?

x 5 10 15 20 25

y 16 19 23 26 30