Let Z be a standard normal variable.Find the value ofzifzsatisfies P(Z <z) = 0.2981.

a)-0.53

b)-0.50

c)0.53

d)-1.00

e)0.50

f)None of the above.

Consider the following binomial experiment:The probability that a fuse produced by a certain company will be defective is¹⁹₅₀.If 500 fuses are produced each day, how many can we expectto find each day that are defective ?

a)188

b)190

c)189

d)191

e)194

f)None of the above.

Use the appropriate normal distribution to approximate the resulting binomial distributions.A convenience store owner claims that 55% of the people buying from her store, on a certain day of the week, buy coffee during their visit.A random sample of 35 customers is made.If the store owner's claim is correct, what is the probability that fewer than 23 customers in the sample buy coffee during their visit on that certain day of the week?

a)0.8643

b)0.8238

c)0.8980

d)0.8790

e)0.9082

f)None of the above.