200+ Probability-and-statistics Questions

Probability-and-statistics Questions Set 7:

Quiz Mode

What is the variance (λ) of the Poisson distribution?

npq

√(npq)

Solution:

If Y and X are 2 random variables and Y = aX + b, then E(Y) is:

a·X + b

a·E(X) + b

(a^2)·E(X)

Solution:

If a fair coin is tossed 10 times, what is the probability of getting exactly 6 heads?

105/256

105/512

91/256

91/512

Solution:

The mean of a set of numbers is m. If each number in the set is incremented by a, what is the mean of the new set?

None of these

m + a

Solution:

The probability that at least one of the events M and N occur is 0.6. If the probability of M and N occurring together is 0.2, then P(M') + P(N') is:

1.2

2.4

0.8

1.8

Solution:

A normally distributed data is given below, what is the value of its mean?

x 6 7 8 9 10 11

f 3 6 9 13 8 5

8.73

9.56

6.45

9.54

Solution:

In a certain town, the duration of showers is exponentially distributed with a mean of 5 minutes. What is the probability that a shower will last less than 10 minutes?

0.1352

0.86466

0.0446

0.5923

Solution:

India will be represented at an international summit by only two delegates. There are 2 men and 2 women eligible to be selected. What is the probability that the delegates selected are only women and no men?

1/2

2/3

1/6

1/3

Solution:

In a party, n couples are invited with the condition that every husband should be accompanied by his wife. However, the wife need not be accompanied by her husband. The number of different ways the party guests can be gathered is:

3ⁿ

2n/n

(2n!)/(2ⁿ)

2ⁿ

Solution:

Find the mean (μ) and variance (σ²) of the given probability distribution:

X | 0 1 2 3 4 5

P(X) | 2/17 4/17 3/17 5/17 2/17 1/17

μ = 2.235, σ² = 1.95

μ = 2.235, σ² = 6.945

μ = 2.53, σ² = 6.945

μ = 2.53, σ² = 1.95

Probability-and-statistics Questions Set 7:

What is the variance (λ) of the Poisson distribution?

Solution:

If Y and X are 2 random variables and Y = aX + b, then E(Y) is:

Solution:

If a fair coin is tossed 10 times, what is the probability of getting exactly 6 heads?

Solution:

The mean of a set of numbers is m. If each number in the set is incremented by a, what is the mean of the new set?

Solution:

The probability that at least one of the events M and N occur is 0.6. If the probability of M and N occurring together is 0.2, then P(M') + P(N') is:

Solution:

A normally distributed data is given below, what is the value of its mean?

x 6 7 8 9 10 11

f 3 6 9 13 8 5

Solution:

In a certain town, the duration of showers is exponentially distributed with a mean of 5 minutes. What is the probability that a shower will last less than 10 minutes?

Solution:

India will be represented at an international summit by only two delegates. There are 2 men and 2 women eligible to be selected. What is the probability that the delegates selected are only women and no men?

Solution:

In a party, n couples are invited with the condition that every husband should be accompanied by his wife. However, the wife need not be accompanied by her husband. The number of different ways the party guests can be gathered is:

Solution:

Find the mean (μ) and variance (σ²) of the given probability distribution:

X | 0 1 2 3 4 5

P(X) | 2/17 4/17 3/17 5/17 2/17 1/17

Solution:

Related Question Sets:

Related Topics:

Probability-and-statistics Questions Set 7:

What is the variance (λ) of the Poisson distribution?

Solution:

If Y and X are 2 random variables and Y = aX + b, then E(Y) is:

Solution:

If a fair coin is tossed 10 times, what is the probability of getting exactly 6 heads?

Solution:

The mean of a set of numbers is m. If each number in the set is incremented by a, what is the mean of the new set?

Solution:

The probability that at least one of the events M and N occur is 0.6. If the probability of M and N occurring together is 0.2, then P(M') + P(N') is:

Solution:

A normally distributed data is given below, what is the value of its mean? x 6 7 8 9 10 11 f 3 6 9 13 8 5

Solution:

In a certain town, the duration of showers is exponentially distributed with a mean of 5 minutes. What is the probability that a shower will last less than 10 minutes?

Solution:

India will be represented at an international summit by only two delegates. There are 2 men and 2 women eligible to be selected. What is the probability that the delegates selected are only women and no men?

Solution:

In a party, n couples are invited with the condition that every husband should be accompanied by his wife. However, the wife need not be accompanied by her husband. The number of different ways the party guests can be gathered is:

Solution:

Find the mean (μ) and variance (σ²) of the given probability distribution: X | 0 1 2 3 4 5 P(X) | 2/17 4/17 3/17 5/17 2/17 1/17

Solution:

Related Question Sets:

Related Topics:

A normally distributed data is given below, what is the value of its mean?

x 6 7 8 9 10 11

f 3 6 9 13 8 5

Find the mean (μ) and variance (σ²) of the given probability distribution:

X | 0 1 2 3 4 5

P(X) | 2/17 4/17 3/17 5/17 2/17 1/17