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levacccp [35]
2 years ago
10

A baker knows that the daily demand for mango pies is a random variable that follows the normal distribution with a mean of 45.4

pies and a standard deviation of 5.3 pies. Find the demand that has a 5% probability of being exceeded. Use a TI-83, TI-83 plus, or TI-84 calculator.
Round your answer to two decimal places.
Mathematics
1 answer:
jekas [21]2 years ago
4 0

Answer:54.117

Step-by-step explanation:

Mean=45.4

Standard deviation=5.3

=5%. =0.05

1-0.05=0.95

Normal Dist(40,10)

InverseCdf(0.95,45.4,5.3)

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Answer:

(a) 0.48, (b) 0.625, (c) 0.1923

Step-by-step explanation:

First define

Probability a person is a democrat: P(D) = 0.4

Probability a person is a republican: P(R) = 0.6

Probability a person support the measure given that the person is a democrat: P(SM | D) = 0.75

Probability a person support the measure given that the person is a republican: P(SM | R) = 0.3

Now for the Theorem of total probabilities we have

(a) P(SM) = P(SM | D)P(D)+P(SM | R)P(R) = (0.75)(0.4)+(0.3)(0.6) = 0.48

and for the Bayes' Formula we have

(b) P(D | SM) = P(SM | D)P(D)/[P(SM | D)P(D)+P(SM | R)P(R)] = (0.75)(0.4)/0.48 = 0.625

Now let SMc be the complement of support the measure, i.e.,

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P(SMc | R) = 0.7: Probability a person does not support the measure given that the person is a republican,

and also for the Bayes' Formula we have

(c) P(D | SMc) = P(SMc | D)P(D)/[P(SMc | D)P(D)+P(SMc | R)P(R)] = (0.25)(0.4)/[(0.25)(0.4)+(0.7)(0.6)] = 0.1/(0.52)=0.1923

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Answer:

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