Find the probability of Shanice saving 3 penalty kicks out of 7 attempts: (Round the answer to 4 decimal places.)
Find the probability of Shanice saving 3 penalty kicks out of 7 attempts: (Round the answer to 4 decimal places.)
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Transcribed Image Text:One of the reasons why the concept of an unfair coin is important in probability is that many real-life
experiments can be modeled by a toss of an unfair coin. For example, if the probability of Shanice saving a
penalty kick is 0.28, then saving a penalty kick can be modeled by a toss of an unfair coin for which Heads
is associated with Saving and Tails with Missing. Thus, the probability of Shanice saving 2 penalty kicks out
of 6 attempts is exactly the same as the probability of getting 2 heads from tossing the coin 6 times and
can be computed using the following formula
P(kH/n)
Chp(1 - p)n-k
with n = 6, k = 2, and p = 0.28:
P(2H/6)=C₂-0.28² -0.724=15-0.0784-0.268739 = 0.316
Find the probability of Shanice saving 3 penalty kicks out of 7 attempts:
(Round the answer to 4 decimal places.)
Expert Solution
Step 1
Given that
Sample size (n)=7
Probability of saving a penalty kick (p)=0.28
We have to find the probability that Shanice saving 3 penalty kicks out of 7 attempts
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