Question

Show all work** Label answers ** * TI Graphing Calculators required ** Round probabilities to 3 decimal places *

1. According to a Kellogg Company, 34.2% of Americans eat breakfast every day. Calculate the binomial probabilities from randomly selected people in the U.S.

a. P(Less than 11 Americans out of 25 eat breakfast daily) =

b. P(More than 13 Americans out of 40 eat breakfast daily) =

c. P(At least 1 out of 5 Americans eat breakfast daily) =

d. P(Exactly 30 Americans out of 90 eat breakfast daily) =

Answer 1

Answer:-

Given that:-

P(Breakfast)=0.342

(a) n=25

So,

P(X<11)

by Normal approximation

by Z table

=0.8485

b) n= 40

By Normal approximation

By Z table

=1

c)

By Binomial n=5 , p=0.342

  

d) n=90

it is discrete ,So we can add or subtract 0.5

  

By Normal approximation

By Z table.