Suppose x has a distribution with a mean of 70 and a standard deviation of 27. Random samples of size

n = 36

are drawn.

(a) Describe the

x distribution

and compute the mean and standard deviation of the distribution.

x

has  ---Select--- a binomial a geometric a Poisson a normal an approximately normal an unknown distribution with

mean μ_x =

and

standard deviation σ_x =  .

(b) Find the z value corresponding to

x = 61.

z =

(c) Find

P(x < 61).

(Round your answer to four decimal places.)

P(x < 61) =

(d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 61? Explain.

No, it would not be unusual because more than 5% of all such samples have means less than 61.Yes, it would be unusual because less than 5% of all such samples have means less than 61.    Yes, it would be unusual because more than 5% of all such samples have means less than 61.No, it would not be unusual because less than 5% of all such samples have means less than 61.

Find the duration of a bond with a settlement date of May 27, 2023, and maturity date November 15, 2034. The coupon rate of the bond is 6.5%, and the bond pays coupons semiannually. The bond is selling at a bond-equivalent yield to maturity of 7.5%. Use Spreadsheet 16.2. (Do not round intermediate calculations. Round your answers to 4 decimal places.)

Assume that the gene trpA in an auxotrophic strain of E. coli is located at 27 minutes, whereas the gene pyrE is located at 81 minutes.
Present an experimental scheme that would allow you to convert one of the auxotrophic strains to a prototrophic strain.

A. F⁺ (auxotroph) × F⁻ (wild type)

B. Hfr (auxotroph) × F⁻ (auxotroph)  

C. Hfr (auxotroph) × F⁻ (wild type)

D. Hfr (wild type) × F⁻ (auxotroph)

E. F⁺ (wild type) × F⁻ (auxotroph)

The correct answer is D, but I don't understand why. Could someone explain this? Thank you!

. A set of anatomy test scores has a mean of 27 and a standard deviation of 4.2. Calculate the raw scores for each of the following z scores: –5.3, –2.1, 0, 1, and 3.1.

8. For the following research question, create one null hypothesis, one directional research hypothesis, and one nondirectional research hypothesis.

• What is the relationship between the quality of a marriage and the quality of the spouses’ relationships with their siblings?

Null:

Directional:

Nondirectional:

27) Android distribution of fat increases the incidence of all of the following except?

   A.  
HTN

   B.  
CAD

   C.  
Liver CA

   D.  
Type II DM

   C.  
Too much gynoid (pear) fat

   D.  
Too much insulin

A recent study conducted by a health statistics center found that 27​% of households in a certain country had no landline service. This raises concerns about the accuracy of certain​ surveys, as they depend on​ random-digit dialing to households via landlines. Pick five households from this country at random.

a) What is the probability that all five of them have a​ landline?

b) What is the probability that at least one of them does not have a​ landline?

c) What is the probability that at least one of them does have a​ landline?

A national survey found that 45​% of adults ages​ 25-29 had only a cell phone and no landline. Suppose that three 25-29-year-olds are randomly selected.

a) What is the probability that all of these adults have only a cell phone and no​ landline?

b) What is the probability that none of these adults have only a cell phone and no​ landline?

c) What is the probability that at least one of these adults has only a cell phone and no​ landline?

In a normal distribution with mean = 27 and standard deviation = 4 Find the probability for
a.) 23 < x < 31
b.) 27<x<35

c.) 25 < x < 30 d.) x>26
e.) x < 24

27. Distinguish between ‘General controls’ and ‘Application controls’ in a computerized environment.

You have network address as 192.1.1.0/24. Subnet it into /27 network.

QUESTION 4 ( 8 marks)

A telemarketer is able make a sale on 27% of the phone calls he makes. Assume that he makes 12 calls in an hour. Answer the following questions, assuming a binomial probability distribution:

Required:

1. What is the probability that he will make exactly four sales in the course of an hour? ( 3 marks)
2. What is the probability that he will make at least three sales in the course of an hour? Hint: Use the approach that requires the least calculation work! ( 5 marks)

Suppose 1.6% of the antennas on new Nokia cell phones are defective. For a random sample of 235 antennas, answer the following questions (assume a Poisson probability distribution):

Required:

1. Calculate the mean and standard deviation for the probability distribution of the number of defective antennas in the random sample. ( 2 marks)
2. What is the probability that exactly five of the antennas will be defective? What is the probability that less than three antennas will be defective? ( 4 marks)

i need fully explanation and calculation of the answer