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
tekilochka [14]
3 years ago
11

A set of exam scores is normally distributed and has a mean of 80.2 and a standard deviation of 11. What is the probability that

a randomly selected score will be greater than 63.7
Mathematics
1 answer:
ZanzabumX [31]3 years ago
5 0

Answer:

93.32% probability that a randomly selected score will be greater than 63.7.

Step-by-step explanation:

Problems of normally distributed samples are 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}

The Z-score measures how many standard deviations the measure is from the mean. 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:

\mu = 80.2, \sigma = 11

What is the probability that a randomly selected score will be greater than 63.7.

This is 1 subtracted by the pvalue of Z when X = 63.7. So

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

Z = \frac{63.7 - 80.2}{11}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

1 - 0.0668 = 0.9332

93.32% probability that a randomly selected score will be greater than 63.7.

You might be interested in
Jada has a stand in the marketplace where she sells ground cumin. Her weekly expenses are $300, and she sells her cumin at a fix
Scrat [10]

                            P  = R - E
                            600 = 120x - 300
The value of x from the equation is 7.5. The answer therefore for the first question is $7.5. Then, the number of kilogram of cumin she needs to sell to cover the expenses is $300/$7.5 and that is equal to 40. 
 I tried my best hope this helps

 
7 0
3 years ago
Please help with my math i took a picture of it
Fynjy0 [20]

Answer:

40°

Step-by-step explanation:

Supplementary angles add up to 180°.  Complementary angles add up to 90°.

m∠1 + m∠2 = 180°

115° + m∠2 = 180°

m∠2 = 65°

m∠2 + m∠3 = 90°

65° + m∠3 = 90°

m∠3 = 25°

m∠2 − m∠3 = 65° − 25° = 40°

6 0
3 years ago
Gary drove to the park at a rate of 50 miles per hour if it took him 2.5 hours to get from his house to the park how far away is
Marina86 [1]

Answer:

The distance of the park from the Gary's house is 125 miles.

Step-by-step explanation:

Speed of Gary = 50 miles/hour

Time taken by Gary to reach the park from his house = 2.5 hours

Now, we know that,

Distance travelled = speed × time

So,  distance between park and Gary's house = speed × time

= 50 × 2.5

= 125 miles

So, the park is 125 miles away from the Gary's house.

4 0
3 years ago
A fair 20-sided die is tossed. What is the probability that the numbers 15 or 4 or 18 are tossed?
andrew11 [14]

The probability of 1 number showing up out of 20 is 1/20

The probability of 3 different numbers showing up would be 3/20

Answer: 3/20

7 0
2 years ago
Find the slope and y-intercept of each equation y=3x-2
alina1380 [7]

Step-by-step explanation:

Slope = 3 (Coefficient of x)

y-intercept = -2

4 0
3 years ago
Read 2 more answers
Other questions:
  • If you weighed 138 pounds on earth you would weigh 128.34 on Saturn. Write the weight on Saturn as a mixed number in simplest fo
    10·1 answer
  • Julia has 19 apples she want 15 more that 19 But less then 16
    9·1 answer
  • What is the value of in the equation
    10·1 answer
  • Please answer my question <br> I WILL MARK BRANLIEST, AND ANSWER ONE OF YOUR QUESTIONS!!!!
    15·2 answers
  • What is .0487 as a percent
    10·1 answer
  • Please help. Determine the domain of the inverse function and find the inverse function.
    5·1 answer
  • (m-5)(m-2) simplified
    5·1 answer
  • 3x^2+ 12x+ 81= 15 complete the square
    13·1 answer
  • If 10 minutes talk-time costs $2, how much will 7 minutes cost?
    10·2 answers
  • Hey can yall help me asap
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!