Business, 19.03.2020 03:09, ally6440

The probability that a randomly selected education major received a starting salary offer greater than $52,350 is . The probability that a randomly selected education major received a starting salary offer between $45,000 and $52,350 is . (Hint: The standard normal distribution is perfectly symmetrical about the mean, the area under the curve to the left (and right) of the mean is 0.5. Therefore, the area under the curve between the mean and a z-score is computed by subtracting the area to the left (or right) of the z-score from 0.5.) What percentage of education majors received a starting offer between $38,500 and $45,000? 6.68%

Answers: 3

Show answers

Answers

answered: juniorracer148

1. 0.08082. 0.53713. 58.2%

Explanation:

The first part of the question, with the input data, is missing.

This is missing part:

Assume that X, the starting salary offer for education majors, is normally distributed with a mean of $46,292 and a standard deviation of $4,320Solution

Question 1: The probability that a randomly selected education major received a starting salary offer greater than $52,350 is ________

Find the Z-score.

The Z-score is the standardized value of the random variable and represents the number of standard deviations the value of the random variable is away from the mean:

$Z-score=\dfrac{X-\mu}{\sigma}$

$Z-score=\dfrac{\$52,350-\$46,292}{\$4,320}=1.40$

$P(X\$52,350)=P(Z1.40)=P(Z$

The standard normal distribution tables give the cumulative probabilities as the cumulative area under the bell-shaped curve. P(Z>1.40) is the area under the curve that is to the right of Z = 1.40 or, what is the same, P(Z<-1.40) is the area to the left of Z = - 1.40.

Using the former, the table indicates P(Z>1.40) = 0.0808, which is 8.08%

Question 2: The probability that a randomly selected education major received a starting salary offer between $45,000 and $52,350 is _______.

Now you must find the area under the curve between the two Z-scores.

$Z(X=$45,000)=\dfrac{\$45,000-\$46,292}{\$4,320}=-0.30$

$Z(X=$52,350)=\dfrac{\$52,350-\$46,292}{\$4,320}=1.40$

Then, you must find the area between Z = -0.30 and Z = 1.40

That is P(Z<1.40) - P(Z < - 0.30) = P(Z > - 1.40) - P(Z < - 0.30)

= 1 - P(Z< -1.40) - P( Z < -0.30)

Now, you can work with the area under the curve to the left of Z = - 1.40 and to the left of Z = - 0.30.

From the corresponding table, that is: 1 - 0.0808 - 0.3821 = 0.5371

Question 3. What percentage of education majors received a starting offer between $38,500 and $45,000?

For X = $38,500:

$Z=\dfrac{\$38,500-\$46,292}{\$4,320}=-1.80$

For X = $45,000

Z = -0.3 (calculated above)

Then, you must find the area under the curve to the right of Z = - 1.80 and to the left of Z = - 0.3

P (Z > - 1.80) - P (Z < - 0.3)1 - P (Z < - 1.80) - P (Z < - 0.3)1 - 0.0359 - 0.3821 = 0.582 = 58.2%

answered: Guest

Some disadvantages to leasing a car is that you are counting on someone to give you money every week or month depending on what you decided and if they don't have all of it well what if you needed that money now you as well have to pay not in full. a disadvantages to purchasing a new vehicle is if it is used then not all the time will absolutely everything work. its almost like a trail and era. although if it is a new car they will try to though all these specials and deals at you in your lease and it can be very overwhelming if you are not use to it.

answered: Guest

according to the song of roland, the characteristics of an ideal knight are: loyalty to the king, skilled warriors and horseman, valiant, bold, courageous, strong and proud in battle. they should be determined to fulfil their duties and willing to die to make their people safe.

Other questions on the subject: Business

Business, 21.06.2019 19:00, skcats7353

Ashare stock is a small piece of ownership in a company ture or false

Answers: 2

continue

Business, 22.06.2019 17:00, vistagallosky

Which represents a surplus in the market? a market price equals equilibrium price. b quantity supplied is greater than quantity demanded. c market price is less than equilibrium price. d quantity supplied equals quantity demanded.

Answers: 2

continue

Business, 22.06.2019 17:30, gabedafame26

Palmer frosted flakes company offers its customers a pottery cereal bowl if they send in 3 boxtops from palmer frosted flakes boxes and $1. the company estimates that 60% of the boxtops will be redeemed. in 2012, the company sold 675,000 boxes of frosted flakes and customers redeemed 330,000 boxtops receiving 110,000 bowls. if the bowls cost palmer company $3 each, how much liability for outstanding premiums should be recorded at the end of 2012?

Answers: 2

continue

Business, 23.06.2019 01:00, Alayna1037

Apopular low-cost airline, parson corp., has gone out of business. although the service and price provided by the airline was what customers wanted, the larger airlines were able to drive the low-cost airline out of business through an aggressive price war. which component of the competitive environment does this illustrate?

Answers: 3

continue

Do you know the correct answer?

The probability that a randomly selected education major received a starting salary offer greater th...