estimate P(at least 8) with n- 13 and p-06 by using the nona 5,is not suitabloon as an approsimalion to the binomal datntadion, np6Wp 5 and nqnormal approsimationBelect the corect choice bolow and, f necessary, il in the answer box to complete your choicemal distibutionOA Mat least B)(Round to three decimal aces as needOI. The nomal dstnibution cannot be usedClick to select and enter your answer(s) and then click Check AnswerheAClear AllT0 49 AM1/30/2019All parts showingO e aere to search

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Asked Nov 30, 2019
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estimate P(at least 8) with n- 13 and p-06 by using the non
a 5,
is not suitablo
on as an approsimalion to the binomal datntadion, np6
Wp 5 and nq
normal approsimation
Belect the corect choice bolow and, f necessary, il in the answer box to complete your choice
mal distibution
OA Mat least B)
(Round to three decimal aces as need
OI. The nomal dstnibution cannot be used
Click to select and enter your answer(s) and then click Check Answer
heA
Clear All
T0 49 AM
1/30/2019
All parts showing
O e a
ere to search
help_outline

Image Transcriptionclose

estimate P(at least 8) with n- 13 and p-06 by using the non a 5, is not suitablo on as an approsimalion to the binomal datntadion, np6 Wp 5 and nq normal approsimation Belect the corect choice bolow and, f necessary, il in the answer box to complete your choice mal distibution OA Mat least B) (Round to three decimal aces as need OI. The nomal dstnibution cannot be used Click to select and enter your answer(s) and then click Check Answer heA Clear All T0 49 AM 1/30/2019 All parts showing O e a ere to search

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Expert Answer

Step 1

Checking conditions of np>5 and nq>5:

Here, n is 13; p is 0.6.

The standard deviation of the population is σ is 30.26.

The conditions are checked as follows:

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пхр313x0.6 7.8 5 пg -n(1- р) -13x (1-0.6) = 5.2 >5

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Step 2

Mean and standard deviation:

Using normal to binomial approximation, the mean and standard deviation is calculated as follows:

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и %3пхр %3D 13 х 0.6 =7.8 пр (1- р) 13 x 0.6 x (1-0.6) =1.7663

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Step 3

Computation of probability of at least 8:

The probability of at least 8 is obtained a...

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P(x28) P(x> 7.5) [by =1-P(x7.5) by continuity correction 7.5 7.8 -1-P 1.7663 1-P (zs-0.1698) using the EXCEL formula, =1-0.4326 "=NORM.S.DIST(-0.1698,TRUE)"| =0.5674

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