Use the attached normal table to compute the following probabilities: (a) P(z < −0.46)   (b) P(−1.14 < z < 2.08)   (c) P(z ≥ −0.77)

Find the following probabilities, where z∼n(0,1) a.p (−1.67≤ z ≤1.44) b.p (z>1.98)

6. Need help

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) =