1 If n 5 and pi 040 what is the a PX 4 b PX 3 c PX 2 d P

1) If n = 5 and (pi) = 0.40, what is the

a) P(X) = 4?

b) P(X) 3?

c) P(X) < 2?

d) P(X) > 1?

2) With 15 observations,

a) the smallest of the standard normal quartile values covers an area under the normal curve of ___ /16 = ____ . The corresponding Z-value is -1.53.

b) The largest of the standard normal quantile values covers an area under the normal curve of ___ /16 = ____ . The corresponding Z-value is +1.53.

c) The middle of the standard quantile values covers an area under the normal curve of ___ /16 = _____ . The corresponding Z-value is 0.00.

See text p. 216 - 217 for information on the normal probability plot.

Solution

1) If n = 5 and (pi) = 0.40, what is the

a) P(X) = 4 = 0.0768

b) P(X) 3 = 0.9130

c) P(X) < 2 = 0.3370

d) P(X) > 1=0.6630

Note: All are binomial probabilities as X is binomial with p = 0.4 and n =5