Question

- The heights of an adult females are normally distributed with a
mean of 150 cm and standard deviation of 8 cm. Let
*X*be the height of an adult females;

- Find
*P**X ≤ 160*

- Find
*P**140<X<170*

- A telemarketer is a person who makes phone calls to prospective
customers to promote sales of company’s products or services. The
probability of a telemarketer in AZA Boutique Design in making a
sale on a customer call is 0.2. Let
be the number of sale.*X*

- Find the probability that no sales are made in 5
calls.

**
**

- If the manager of the company wanted an average of 3 sales in a day, find the number of calls that should be made by a telemarketer in order to achieve the target.

- Patients arrived at hospital emergency department follows a Poisson distribution with a mean of 4 patients per hour.

- In any 90 minutes period of time, find the probability that exactly 10 patients arrived.

- Find the standard deviation of the number of patients arriving at the hospital.

Answer #1

1. Let X be the height of an adult females in centimetre.

Therefore,

I.

.

### by using z table.

ii.

by using z table

A telemarketer is a person who makes phone calls to prospective
customers to promote sales of company’s products or services. The
probability of a telemarketer in AZA Boutique Design in making a
sale on a customer call is 0.2. Let
X be the number
of sale.
Find the probability that no sales are made in 5 calls.
If the manager of the company wanted an average of 3 sales in a
day, find the number of calls that should be...

The overhead reach distances of adult females are normally
distributed with a mean of 200 cm. and a standard deviation of 8
cm.
Find the probability that an individual’s distance is less than
205cm.
Find the probability that the mean for 25 randomly selected
distances is less than 205cm.

The
overhead reach distance of adult females are normally distributed
with a mean of 197.5 cm and a standard deviation of 8 cm.
a. find the probability that an indivdual distance is greater
than 207.50cm
b. find the probability the mean for 20 randomly selected
distances is greater than 195.30cm.

The heights of American adult males are normally distributed
with a mean of 177 cm and a standard deviation of 7.4 cm. Use the
Empirical Rule to find the range of heights that contain
approximately
(a) 68% of the data
cm -- cm
(b) 95% of the data
cm -- cm
(c) 99.7% of the data
cm -- cm

The overhead reach distance of adult females are normally
distributed with a mean of 205.5 cm and a standard deviation
8.6
A. Find the probability that an individual distance is greater
than 214.80cm
b.find the probability that the mean 25 randomly selected
distances is greater than 203.70
c. why

The overhead reach distances of adult females are normally
distributed with a mean of 202.5 cm and a standard deviation of 7.8
cm.
a. Find the probability that an individual distance is greater
than 212.50 cm.
b. Find the probability that the mean for 20 randomly selected
distances is greater than 200.70 cm.
c. Why can the normal distribution be used in part (b), even
though the sample size does not exceed 30?

The
overhead reach distance of adult females are normally distributed
with a mean of 202.5 cm and a standard deviation of 7.8 cm. A. find
the probability that an individual distance is greater than 211.80
cm. B. find the probability that the mean for 25 randomly selected
distances is greater than 201.20 cm. C. why can the normal
distribution be used in part B even though the sample size does not
exceed 30?

The overhead reach distances of adult females are normally
distributed with a mean of 205 cm and a standard deviation of 8.9
cm
a. Find the probability that an individual distance is greater
than 217.50 cm.
b. Find the probability that the mean for 25 randomly selected
distances is greater than 202.80 cm.
c. Why can the normal distribution be used in part (b), even
though the sample size does not exceed 30?

The overhead reach distances of adult females are normally
distributed with a mean of 197.5 cm and a standard deviation of 8
cm. a. Find the probability that an individual distance is greater
than 210.00 cm. b. Find the probability that the mean for 20
randomly selected distances is greater than 195.30 cm. c. Why can
the normal distribution be used in part (b), even though the
sample size does not exceed 30?

The overhead reach distances of adult females are normally
distributed with a mean of 202.5 cm and a standard deviation of 8
cm.
a. Find the probability that an individual distance is greater
than 215.00 cm.
b. Find the probability that the mean for 15 randomly selected
distances is greater than 200.30 cm.
c. Why can the normal distribution be used in part (b), even
though the sample size does not exceed 30?

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