1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
charle [14.2K]
3 years ago
6

Personnel tests are designed to test a job​ applicant's cognitive​ and/or physical abilities. A particular dexterity test is adm

inistered nationwide by a private testing service. It is known that for all tests administered last​ year, the distribution of scores was approximately normal with mean 78 and standard deviation 7.8.a. A particular employer requires job candidates to score at least 83 on the dexterity test. Approximately what percentatge of the test scores during the past year exceeded 83?
Mathematics
1 answer:
Elza [17]3 years ago
3 0

Answer:

26.11% of the test scores during the past year exceeded 83.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

It is known that for all tests administered last​ year, the distribution of scores was approximately normal with mean 78 and standard deviation 7.8. This means that \mu = 78, \sigma = 7.8.

Approximately what percentatge of the test scores during the past year exceeded 83?

This is 1 subtracted by the pvalue of Z when X = 83. So:

Z = \frac{X - \mu}{\sigma}

Z = \frac{83 - 78}{7.8}

Z = 0.64

Z = 0.64 has a pvalue of 0.7389.

This means that 1-0.7389 = 0.2611 = 26.11% of the test scores during the past year exceeded 83.

You might be interested in
7. (ASV, Exercise 2.20 ) - 3 points. A fair die is rolled repeatedly. Use precise notation of probabilities of events and random
Korvikt [17]

Answer:

0.9646 ; 0.5685

Step-by-step explanation:

Given that :

P(obtaining 3 on a die roll) = 1/6 = 0.1667

Obtaining 3 at most 2 times in five trials

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

n = 5 ;, p = 0.1667

P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)

Using the binomial probability :

P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608

P(x ≤ 2) = 0.9646

B.) using geometric distribution :

(1 - p)^x-1 * p

P ≥ 5) = 1 - P(x ≤ 4) = 1 - p(x = 0) + p(x = 1) + p(x =2) + p(x = 3)

1 - (0.1667 + 0.1157+0.0965+0.0804)

= 0.5685

8 0
2 years ago
Ben bought the enormous box of juice shown below. He drinks 450 cubic centimeters of juice each day. How many days does it take
expeople1 [14]

Answer:

Step-by-step explanation:

to find the answer you have to find the vulume and then divide by 450

3 0
3 years ago
Read 2 more answers
Show your work please no links please!:)
BabaBlast [244]

Answer:

hgoahdjfgggfhhfjfhfjf mark me brainliestplz

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! I NEED TO FINISH THESE QUESTIONS BEFORE MIDNIGHT TONIGHT.
Paul [167]

Answer:

Step-by-step explanation:

Triangle WXY is a right angle triangle.

From the given right angle triangle

WY represents the hypotenuse of the right angle triangle.

With ∠W as the reference angle,

WX represents the adjacent side of the right angle triangle.

XY represents the opposite side of the right angle triangle.

To determine WY, we would apply the Sine trigonometric ratio

Sin θ = opposite side/hypotenuse. Therefore,

Sin 36 = 5/WY

WY = 5/Sin36 = 5/0.5878

WY = 8.5 to the nearest tenth

3 0
3 years ago
Suppose a basketball player has made 390 out of 434 free throws. If the player makes the next 2 free throws, I will pay you $40.
alukav5142 [94]

Answer: a) -$0.19, b) -$111.72 .

Step-by-step explanation:

Since we have given that

Number of free throws = 434

Number of throws made by them = 390

Amount for making the next 2 free throws = $40

Amount otherwise he has to pay = $169

a) Find the expected value of the proposition.

Expected value of success in next 2 free throws = \dfrac{390}{434}\times \dfrac{391}{435}=0.8077

Expected value would be

0.8077\times 40+(1-0.8077)\times -169\\\\=32.308-32.4987\\\\=-\$0.19

b)  If you played this game 588 times how much would you expect to win or lose?

Number of times they played the game = 588

So, Expected value would be

588\times -0.19\\\\=-\$111.72

Hence, a) -$0.19, b) -$111.72

8 0
3 years ago
Other questions:
  • Food bill before tax: $30<br>Sales tax: 6.4% <br>Tip: 15%<br>Please help!
    7·1 answer
  • What is 72/9+4x4= thanks
    14·2 answers
  • PLEASE HELP-20 POINTS
    8·1 answer
  • 5. The mapping below represents all of the points on the graph of functionf.
    12·1 answer
  • What is the approximate distance around the half circle with a diameter of 64 meters?   A. 100.48 m   B. 200.96 m   C. 401.92 m
    8·2 answers
  • Diane makes fruit punch with 3 cups of cranberry juice, 2 cups of
    5·2 answers
  • Dylan opens a credit card account with $550.00 of available credit .Now that he has made some purchases Dylan’s account only has
    14·1 answer
  • 10. Simplify,<br> (1/2^2/3 x 3^-2)
    9·1 answer
  • PLEASE ANSWER ASAP For the Christmas and holiday season, every student in Mrs. Perri’s class decided to send a card to each stud
    8·1 answer
  • A Produce store sold 63 red apples. If the ratio of red apples to green apples sold was 7:2,
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!