Use the calculate feature to calculate the following probabilities\" 1. Binomial

Question

Use the calculate feature to calculate the following probabilities"

1. Binomial (n=20 p = .45) P(x<=10) =

                                       P(8<= X <=12) =

2. Hypergeometric (N = 100, R = 40, n = 10) P(x>6) =

P(4<= x <=8) =

3.1

Use STAT - Z-STAT one sample w data to create a 99% confidence interval for total fat. Assume the population's standard deviation equals 20.

3.2

Use STAT - t-STAT one sample w data to create a 90% confidence interval for carbs.

3.3

Use STAT - proportions stats one sample w data to create a 95% confidence interval for the proportion of sonic restaurants.   set success = Sonic

Explanation / Answer

1.

n=20
p = .45
mean = np = 9
stdev = sqrt(20*.45*.55) = 2.225
P(X<=10) = P(Z< = (10-9)/2.225) = P(Z<=.45) = .6736

P(8<=X<=12) = P(-.45<X<1.35) = .9115-.3264 = .5851

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