(1) Some researches were checking the eye color of flies Suppose that the probab
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(1) Some researches were checking the eye color of flies Suppose that the probability of black eyes is find the probability of observing the third black-eyed fly on the and the probability of red eyes is thirteenth trial 7 Ans(1) (2) Al manufacture found that one out of S items produced by a process is defective. Select six items ndependently from this peoduction line and test them, find the probability of observing at most onc defective inem Ans(2) average number of school closings in a school year due to snowstorms is four (3) In Baltimore that the What is the probability that there will be six school closings this year because of shows Ans.(3) (4) Forks are produced in packages of forty, If a package contains six defective forks What is the probabiality that a sample of five will contain two or more defective forks ? Ams (4) that he is succesfiul on a given trial is 03. What is the probubility thet the fith hole drilled is the first that yields a productive well? (S1An oil prospector will drill a succession of holes in a given arca to find a productive well. The probability Ans.(5)Explanation / Answer
Please note that we can answer only 1 quesstion at a time
6)
we know that z score is given as
Z = (X-Mean)/sd
so mean = 90 and sd = 5
a)
z100 = (100-90)/5 = 2
P ( Z>2 )=1P ( Z<2 )=10.9772=0.0228
b)
z95 = (95-90)/5 = 1
P ( Z<1 )=0.8413
c)
z85 = (85-90)/5 = -1
z95 = (95-90)/5 = 1
To find the probability of P (1<Z<1), we use the following formula:
P (1<Z<1 )=P ( Z<1 )P (Z<1 )
We see that P ( Z<1 )=0.8413.
We see that P ( Z<1 )=0.8413 so,
P ( Z<1)=1P ( Z<1 )=10.8413=0.1587
At the end we have:
P (1<Z<1 )=0.6826
d)
z88 = (88-90)/5 = -0.4
P ( Z<0.4 )=1P ( Z<0.4 )=10.6554=0.3446
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