Let X represent a binomial random variable with n = 200 and p = 0.77. Use Excel’s function options to find the following probabilities. a. P(X ≤ 150) b. P(X > 160) c. P(155 ≤ X ≤ 165)

A manufacturer of plumbing fixtures has developed a new type of washerless faucet. Let p = P(a randomly selected faucet of this type will develop a leak within 2 years under normal use). The manufacturer has decided to proceed with production unless it can be determined that p is too large; the borderline acceptable value of p is specified as 0.10. The manufacturer decides to subject n of these faucets to accelerated testing (approximating 2 years of normal use). With X = the number among the n faucets that leak before the test concludes, production will commence unless the observed X is too large. It is decided that if p = 0.10, the probability of not proceeding should be at most 0.10, whereas if p = 0.30 the probability of proceeding should be at most 0.10. (Assume the rejection region takes the form reject H, if X 2 c for some c. Round your answers to three decimal places.) What are the error probabilities for n = 10? n USE SALT P-value = 0.07 B(0.3) =

Use the tables provided to give your best estimate to the 6. probabilities: а. Р(Z> 1.9) b. P(ti, >1.9) c. P(Xs > 42.1) d. P(F,14 >1.8)

One professional basketball player typically attempts eight free throws per game. Let X represent the number of free throws made out of eight. The distribution for X is shown in the table.   Which of the following is the correct interpretation of P(X ≤ 3)? The probability of the number of free throws made out of 8 is at most 3. The probability of the number of free throws made out of 8 is at least 3. The probability of the number of free throws made out of 8 is lower than 3. The probability of the number of free throws made out of 8 is higher than 3.