Questions from Statistics Principles

Q: Suppose the duration of trouble-free operation of a new robotic

Suppose the duration of trouble-free operation of a new robotic vacuum cleaner is normally distributed with mean 750 days and standard deviation 100 days. (a) What is the probability that the vacuum...

Q: Suppose the amount of a popular sport drink in bottles leaving the

Suppose the amount of a popular sport drink in bottles leaving the filling machine has a normal distribution with mean 101.5 milliliters (ml) and standard deviation 1.6 ml. (a) If the bottles are lab...

Q: Suppose the random variable X is normally distributed with mean µ and

Suppose the random variable X is normally distributed with mean µ and standard deviation CJ. If Y is a linear function of X - that is, Y = a + bX, where a and bare constants-then Y is also normally di...

Q: Let X denote the number of successes in n Bernoulli trials with

Let X denote the number of successes in n Bernoulli trials with a success probability of p. (a) Find the exact probabilities of each of the following: (i) X ~ 7 when n = 25, p = .4 (ii) 11 ≤ X ≤ 16...

Q: Probabilities, provided by the engaged couple, can help control the

Probabilities, provided by the engaged couple, can help control the number of guests at their wedding. At the planning stage, decisions are necessarily based on the number of persons expected to respo...

Q: A particular program, say, program A, previously drew 30

A particular program, say, program A, previously drew 30% of the television audience. To determine if a recent rescheduling of the programs on a competing channel has adversely affected the audience o...

Q: The number of successes X has a binomial distribution. State whether

The number of successes X has a binomial distribution. State whether or not the normal approximation is appropriate in each of the following situations: (a) n = 400 , p = .23 (b) n = 20 , p = .03 (c)...

Q: Because 10% of the reservation holders are "no-shows

Because 10% of the reservation holders are "no-shows," a U.S. airline sells 400 tickets for a flight that can accommodate 3 70 passengers. (a) Find the approximate probability that one or more reserv...

Q: On a Saturday afternoon, 14 7 customers are observed during check

On a Saturday afternoon, 14 7 customers are observed during check-out and the number paying by card, credit or debit, is recorded. Records from the store suggest that 43% of customers pay by card. App...

Q: In all of William Shakespeare's works, he used 884,64

In all of William Shakespeare's works, he used 884,64 74 different words. Of these, 14,376 appeared only once. In 1985 a 429-word poem was discovered that may have been written by Shakespeare. To keep...