Determine whether the graph can represent a normal curve. If it cannot, explain

Question

Determine whether the graph can represent a normal curve. If it cannot, explain why.

Select one:

A. The graph cannot represent a normal density function because a normal density curve should approach but not reach the horizontal axis as x increases and decreases without bound.

B. The graph can represent a normal density function.

C. The graph cannot represent a normal density function because it is bimodal.

D. A and B are both true.

Question 2

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Provide an appropriate response.

The highest point on the graph of the normal density curve is located at

Select one:

A. an inflection point

B. +

C. + 3

D. its mean

Question 3

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Use a table of areas for the standard normal curve to find the required z-score.

Find the z-score for which the area under the standard normal curve to its left is 0.96

Select one:

A. -1.75

B. 1.03

C. -1.38

D. 1.75

E. 1.82

Question 4

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Find the indicated percentile.

Assume that the random variable X is normally distributed with mean  and standard deviation  Find the 24th percentile for X.

Select one:

A. 42.92

B. 41.48

C. 38.6

D. 58.52

Question 5

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Use a table of areas for the standard normal curve to find the required z-score.

Find the z-score having area 0.86 to its right under the standard normal curve.

Select one:

A. -1.08

B. 0.8051

C. 1.08

D. 0.5557

E. -0.5557

Question 6

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True or False: The proportion of the population that has certain characteristics is the same as the probability that a randomly selected individual of the population has these same characteristics.

Select one:

A. True

B. False

Question 7

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The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 3000 miles. What warranty should the company use if they want 96% of the tires to outlast the warranty?

Select one:

A. 54,750 mi

B. 63,000 mi

C. 65,250 mi

D. 57,000 mi

Question 8

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The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 5.5 minutes and a standard deviation of 1 minute. Find the cut-off time which 75.8% of the college students exceed when trying to find a parking spot in the library parking lot.

Select one:

A. 6.0 min

B. 6.2 min

C. 5.8 min

D. 6.3 min

Question 9

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A new phone system was installed last year to help reduce the expense of personal calls that were being made by employees. Before the new system was installed, the amount being spent on personal calls follows a normal distribution with an average of $800 per month and a standard deviation of $50 per month. Refer to such expenses as PCE's (personal call expenses). Find the point in the distribution below which 2.5% of the PCE's fell.

Select one:

A. $898.00

B. $20.00

C. $702.00

D. $780.00

Explanation / Answer

1) graph is not visible

2)

The highest point on the graph of the normal density curve is located at

Select one:

mean is correct

3) P(Z< z*) = 0.96

z* = 1.751

{from standard normal table or online}

4) mean and sd is not visible

but it will be

mean -0.706 *sd   

so plug given values to find answer

5)P(Z> z*) = 0.86

z* = -1.08

Ask rest question again.

Thanks

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