Question

A child psychologist is interested in the number of times a newborn baby's crying wakes its mother after midnight and so a random sample is conducted of 50 mothers. Two said 0 times, eleven said 1 time, twenty three said 2 times, nine said 3 times, four said 4 times, and one said 5 times. Let X = the number of times a newborn wakes its mother after midnight. Then for this sample, x = 0, 1, 2, 3, 4, 5.

a)
Construct
a table showing the frequency and the probability for each value of
X.

b)
Construct a histogram of
the probability distribution.

c)
Find the expected value μ for the number of times a newborn baby's
crying wakes its mother after midnight.

d)
Calculate the standard deviation σ for this probability
distribution.

Answer #1

A hospital researcher is interested in the number of times the
average post-op patient will ring the nurse during a 12-hour shift.
For a random sample of 50 patients, the following information was
obtained.
x
P(x)
0
0.085
1
0.160
2
0.311
3
0.274
4
0.123
5
0.047
What is the expected number of times a patient will ring the
nurse during a 12-hour shift? You must show all work to receive
credit for this problem. Simply giving providing a...

The following data represent the number of games played in each
series of an annual tournament from 1924 to 2002. Complete parts
(a) through (d) below. x (games played) 4 5 6 7 Frequency 19 17
20 22 (a) Construct a discrete probability distribution for the
random variable x. x (games played) P(x) 4 nothing 5 nothing 6
nothing 7 nothing (Round to four decimal places as needed.) (b)
Graph the discrete probability distribution. Choose the correct
graph below. A....

The following data represent the number of games played in each
series of an annual tournament from
19331933
to
20022002.
Complete parts? (a) through? (d) below.
x? (games played)
4
5
6
7
Copy to Clipboard
+
Open in Excel
+
Frequency
1717
1515
2121
1616
?(a) Construct a discrete probability distribution for the
random variable x.
x? (games played)
?P(x)
4
nothing
5
nothing
6
nothing
7
nothing
?(Round to four decimal places as? needed.)
?(b) Graph the discrete...

You are interested in finding out the mean number of customers
entering a 24-hour convenience store every 10-minutes. You suspect
this can be modeled by the Poisson distribution with a a mean of
λ=4.84 customers. You are to randomly pick n=74 10-minute time
frames, and observe the number of customers who enter the
convenience store in each. After which, you are to average the 74
counts you have. That is, compute the value of X (a) What can you
expect...

2.) When a car is randomly selected, the number of bumper
stickers and the corresponding probabilities are: 0 (0.814); 1
(0.083); 2 (0.044); 3 (0.019); 4 (0.012); 5 (0.008); 6 (0.008); 7
(0.004); 8 (0.004); 9 (0.004);
a.) Does the given information describe a probability distribution?
Explain why
b.) Assuming that a probability distribution is described, find
its mean and standard deviation.
c.) Use the range rule of thumb to identify the range values for
unusual numbers of bumper stickers....

1. Find the area under the standard normal curve (round to four
decimal places)
a. To the left of z=1.65
b. To the right of z = 0.54
c. Between z = -2.05 and z = 1.05
2. Find the z-score that has an area of 0.23 to its right.
3. The average height of a certain group of children is 49
inches with a standard deviation of 3 inches. If the heights are
normally distributed, find the probability that a...

MATHEMATICS
1. The measure of location which is the most likely to
be
influenced by extreme values in the data set is the a. range
b.
median c. mode d. mean
2. If two events are independent, then a. they must be
mutually
exclusive b. the sum of their probabilities must be equal to one
c.
their intersection must be zero d. None of these alternatives
is
correct. any value between 0 to 1
3. Two events, A and B,...

1.The sample mean is an unbiased estimator for
the population mean. This means:
The sample mean always equals the population mean.
The average sample mean, over all possible samples, equals the
population mean.
The sample mean will only vary a little from the population
mean.
The sample mean has a normal distribution.
2.Which of the following statements is
CORRECTabout the sampling distribution of the
sample mean:
The standard error of the sample mean will decrease as the
sample size increases....

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