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Statistics and Probability
The mean weight of 800 college students is 56 kg and the standard deviation is 5 kg. Assuming that the weight is normally distributed, determine how many students weigh: a. Between 60 kg and 70 kg. b. More than 68 kg.
Statistics and Probability
A fair coin is tossed 5 times. Find the probability of obtaining (i) exactly 4 heads (ii) fewer than 3 heads. Suppose the experiment is a binomial one
Statistics and Probability
The probabilities that Audu, Chioma and Yinka pass UTME are 1/3, 2/5 and 3/8 respectively. Find the probability that the three of them will fail the exam
Statistics and Probability
The probabilities that Audu, Chioma and Yinka pass UTME are 1/3, 2/5 and 3/8 respectively. Find the probability that the three of them will fail the exam
Statistics and Probability
bank provides two different kind of bank account: current accounts and savings accounts. Every bank customer has one or both of these. 90% of bank customers have current accounts and 60% of bank customers have savings accounts. If a customer is chosen uniformly at random from the set of all bank customers, calculate the following probabilities
a) The probability they have a current account or a savings account.
b) The probability they have a current account and a savings account.
c) The probability they have a current account but not a savings account.
The probability they do not have a savings account, given that they have a current account
Statistics and Probability
In a hospital’s shipment of 3 500 insulin syringes, 14 were unusable due to defects. (a) at alpha = 0.05, is this sufficient evidence to reject future shipments from this supplier if the hospital’s quality standard requires 99.7 percent of the syringes to be acceptable?
Statistics and Probability
(a) Find the probability that in a family of 5 children there will be (i) at least one boy, (ii) at least one boy and at least one girl. Assume that the probability of a male birth is 1/2. (b) Suppose a random variable X has the probability density f(x) = x, 0 ≤ x < 1 2 − x, 1 ≤ x < 2 0, elsewhere Find (i) P(−1 < x < 0.5) (ii)P(x ≤ 1.5) (iii) P(x > 2.5) (iv) P(0.25 < x < 1.5)
Statistics and Probability
Suppose a population consists of 10 items, four of which are classified as defective and six of which are classified as non-defective. What is the probability that a random sample of size three will contain two defective items?
Statistics and Probability
A box of 12 tins of tuna contains 6 which are tainted, suppose 7 tins are opened for inspection, find the probability that (a) exactly 3 of them are tainted, (b) at least 5 of them are tainted, (c) at most 3 of them are tainted
Statistics and Probability
10!/2!(10-2)!
