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stealth61 [152]
3 years ago
8

A car manufacturer is concerned about poor customer satisfaction at one of its dealerships. The management decides to evaluate t

he satisfaction surveys of its next 69 customers. The dealer will be fined if the number of customers who report favorably is between 40 and 46. The dealership will be dissolved if fewer than 40 customers report favorably. It is known that 73% of the dealer’s customers report favorably on satisfaction surveys. a. What is the probability that the dealer will be fined? (Round "z" value to 2 decimal places, and final answer to 4 decimal places.)b. What is the probability that the dealership will be dissolved? (Round "z" value to 2 decimal places, and final answer to 4 decimal places.)
Mathematics
1 answer:
Dima020 [189]3 years ago
5 0

Step-by-step explanation:

The probability that the dealer will be fined is 0.0948

To find p(a <= Z <= b) = F(b) - F(a)

P(X < 20) = (20 - 30.5)/3.4489

= -10.5/3.4489 

= -3.0444

= P(Z < -3.0444) from standard normal table

= 0.00117

P(X < 26) = (26 - 30.5)/3.4489

= -4.5/3.4489 = -1.3048

= P(Z < -1.3048) From standard normal table

= 0.09599

P(20 < x < 26) = 0.09599 - 0.00117 = 0.0948

The answer in this question is 0.0948

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In a sample of 234 individuals over the age of 25, chosen at random from the state of Oregon, 48 did not have a high school dipl
Anna71 [15]

Answer:

The upper bound of a 95% confidence interval for the proportion of individuals over the age of 25 in Oregon who do not have a high school diploma is of 0.2568.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

In a sample of 234 individuals over the age of 25, chosen at random from the state of Oregon, 48 did not have a high school diploma.

This means that n = 234, \pi = \frac{48}{234} = 0.2051

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 + 1.96\sqrt{\frac{0.2051*0.7949}{234}} = 0.2568

The upper bound of a 95% confidence interval for the proportion of individuals over the age of 25 in Oregon who do not have a high school diploma is of 0.2568.

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3 years ago
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Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

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4 years ago
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The objective is to state why the value of converging alternating seies with terms that are non increasing in magnitude lie between any two consecutive terms of partial sums.

Let alternating series

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As the magnitude of the terms in the alternating series are non-increasing in magnitude, sequence {S2k} is bounded above by S1 and sequence {S2k+1} is bounded by S2. So, l lies between S1 and S2.

In the similar war, if first two terms of the series are deleted, then l lies in between S3 and S4 and so on.

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Answer:

11

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The volume of a pyramid is the one-third of the product of the area of the base and the height of the pyramid.
V = (1/3)Ah
where
A = area of base
h = height of the pyramid

The base of this pyramid is a hexagon.
The area of a regular hexagon is
A = (1/2)pa,
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