ow many employees should you schedule in order to be 99% confident that at least
ID: 3060377 • Letter: O
Question
ow many employees should you schedule in order to be 99% confident that at least 5 come to int: There is no single formula for the answer to this problem, you should use some type (c) H of trial and error. Cnanae 'na v und untitre(w gct 99 we.vk theBio nomial Prolbale 2. Resolving Probabilities o ne and At Least One: suppose the US Transportation Security Administration TSA) requires 10% of all airplane passengers be randomly selected for a fiull screening before boarding a plane. Now, suppose you will travel on a plane 8 times in the coming year. (a) What is the probability that you will get screened exactly once? (b) What is the probability that you will get screened at least once? (c) Is the probability in favor (> 50%) of you getting screened exactly once? Is the probability in favor (> 50%) of you getting screened at least once? 3. Fair Coin: Suppose you want to test a coin to see if it is fair or not. You do this by flipping it 40 times. You will deem it unfair if the number of heads is unusual. What would be the acceptable range of heads to let the coin pass as fair? Assume, at first, that the coin is fair.Explanation / Answer
2)
we use binomial distribution formula
P=nCr p^r q^(n-r)
n=8
p=0.1
q=1-p =1-0.1 =0.9
a)
P(x=1) =8C1 (0.1)^1 (0.9)^(8-1)
= 8 * 0.1 * 0.9^7
=0.3826
b)
P(x>=1) =1-P(x=0)
=1-[ 8C0 (0.1)^0 (0.9)^(8-0) ]
=1-[ 1 * 1 * 0.9^8 ]
=1- 0.43046
=0.5695
c)
No,the probability is not in favour of getting screened exactly once because probability is less than 0.5
Yes,the probability is in favour of getting screened atleast once because probability is more than 0.5
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