Use a normal distribution to estimate the probability of more
than 55 girls being born in...
Use a normal distribution to estimate the probability of more
than 55 girls being born in 100 births. Assume that the probability
of a girl being born in an individual birth is 50%.
Empolyee
age
1
25
2
32
3
26
4
40
5
50
6
54
7
22
8
23
age
Mean
34
Standard Error
4.444097209
Median
29
Mode
#N/A
Standard Deviation
12.56980509
Sample Variance
158
Kurtosis
-1.152221485
Skewness
0.767648041
Range
32
Minimum
22
Maximum
54
Sum
272
Count
8
Confidence Level(95.0%)
10.50862004
Describe the point estimate, normal probability distribution, and standard normal probability distribution in details, in 4 paragraphs.
1) If the boys and girls have the same probabilities of being
born. What is the probability that a family of 5 children selected
randomly has atleast one boy?
2) Of the pieces produced by a machine in particular, 0.8% are
defective. If an aleatory sample of 8 pieces produced by this
machine contains two or more defective pieces, the machine will be
turned off to make reparations. Find the probability that the
machine would turn off for reparations based...
9. For a standard normal distribution, what is the probability
that Z is greater than -1.35? Round to four decimals and use
leading zeros.
10. For a standard normal variable, what is the probability that
Z is between -2.00 and -1.00? Round to four decimals and use
leading zeros.
11. For a dataset that follows the standard normal distribution,
what is the probability that Z is between 2.00 and 3.00? Round to
four decimals and use leading zeros.
Use the normal distribution to approximate the desired
probability. A certain question on a test is answered correctly by
24.0 percent of the respondents. Estimate the probability that
among the next 166 responses there will be at most 43 correct
answers.
SELECT ALL APPLICABLE CHOICES
A) 74.56870%
B) 74.30203%
C) 75.20203%
D) 74.95203%
E) 74.70203%
F) None of the above
a) Find the probability of an individual being more extreme than
3.2 standard deviation from the mean.
b) Is this unusual?
Select an answer Not unusual because the probability is high
unusual because the probability is low unusual because the
probability is high not unusual because the probability is low
Why can we not use z values to estimate the mean for a normal
distribution with unknown standard deviation?
As sample size n increases, does the variance of the
corresponding t distribution increase or decrease?
Why?
(1 point) Use the Normal Approximation to the Binomial
Distribution to compute the probability of passing a true/false
test of 40 questions if the minimum passing grade is 90% and all
responses are random guesses.
Use normal approximation to estimate the probability of passing
a true/false test of 30 questions if the minimum passing grade is
90% and all responses are random guesses.
1.
Which of the following is NOT a characteristic of the normal probability distribution?
a. The distribution is symmetrical.
b. The mean, median, and mode are equal.
c. The standard deviation must be 1.
d. The mean of the distribution can be negative, zero, or positive.
2.
For a standard normal distribution, P(Z 0) is
a. Zero
b.one D
c.0.5
d.HOS