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1st Year Statistics Chapter 9 Test1st Year · Statistics · Punjab (PTB)
Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)
The number of trial in binomial distribution is:
The parameters of the hypergeometric distribution h(x; N, n, k) are:
In which distribution the successive trials are without replacement?
For a given binomial distribution with n fixed, if p < 0.5, then
The binomial distribution is negatively skewed if:
Which of the following can never be described by a binomial distribution?
The number of possible outcomes in a Bernoulli trial is:
In binomial distribution the range of X is:
In a binomial experiment, the successive trials are:
A fair die is rolled three times. The probability of getting three 'aces' is
Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)
Find the probability i.e., tossing a fair coin four times there will appear 1 tail and 3 heads.
Is it possible to have a binomial distribution in the following case: P(X = -2)=0.1467
Define the binomial probability distribution.
Define the Binominal Probability Distribution.
Define binomial random variable.
Find the mean and variance of the binomial distribution (q+p)3.
Find the probability that in 5 tosses of a fair die '3 or 4' appears twice.
Find the probability i.e., tossing a fair coin four times there will appear at the most 2 heads.
Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)
The experience of a house-agent that he can provide suitable accommodation for 75 percent of the clients who come to him. If one a particular occasion 6 clients approach him independently, calculate the probability that at least 5 clients will bet satisfactory accommodation.
Suppose that the probability is 0.60 that a car stolen in a given city will be recovered. Find the probability that 3 out of 10 cars stolen in this city will be recovered.
In a binomial distribution with n = 5, what is the value of other parameter of the binomial if P(X=0)=P(X=1)? Find its mean and variance.