Question

1. Once again, the binomial experiment is drawing a card at random out of a deck of 52, with replacement. Success is "card is a Heart".  

Using Excel to calculate the probability of drawing at most three Hearts in ten trials. Round your answer to four decimal places.

2. Given that z is a standard normal random variable, use Excel to find z such that the area to the left of z is 0.131416. Show your answer with four decimal places.

Answer 1

1)

there are 13   heart cards

hence p = 13/52 = 0.25

X follow binomial distribution with n = 10 , p = 0.25

P(X <= 3)

= =binom.dist(3,10,0.25,1)

=0.775875

=0.7759

2)

P(Z < 0.131416)

==normsdist(0.131416)

=0.552277

=0.5528

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