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Jet001 [13]
3 years ago
9

How do I solve this word problem?

Mathematics
1 answer:
OleMash [197]3 years ago
7 0
The answer is A, or 13 because .03 + .03 = .06 and .32-.06=.26.0.26/.02 =13.
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The mean annual cost of an automotive insurance policy is normally distributed with a mean of $1140 and standard deviation of $3
DerKrebs [107]

Using the normal distribution, it is found that the probabilities are given as follows:

a) 0.8871 = 88.71%.

b) 0.0778 = 7.78%.

c) 0.8485 = 84.85%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

The parameters in this problem are given as follows:

\mu = 1140, \sigma = 310, n = 16, s = \frac{310}{\sqrt{16}} = 77.5

Item a:

The probability is the <u>p-value of Z when X = 1250 subtracted by the p-value of Z when X = 1000</u>, hence:

X = 1250:

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

By the Central Limit Theorem

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

Z = \frac{1250 - 1140}{77.5}

Z = 1.42

Z = 1.42 has a p-value of 0.9222.

X = 1000:

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

Z = \frac{1000 - 1140}{77.5}

Z = -1.81

Z = -1.81 has a p-value of 0.0351.

0.9222 - 0.0351 = 0.8871 = 88.71% probability.

Item b:

The probability is <u>one subtracted by the p-value of Z when X = 1250</u>, hence:

1 - 0.9222 = 0.0778 = 7.78%.

Item c:

The probability is the <u>p-value of Z when X = 1220</u>, hence:

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

Z = \frac{1220 - 1140}{77.5}

Z = 1.03

Z = 1.03 has a p-value of 0.8485.

0.8485 = 84.85% probability.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

3 0
2 years ago
A random sample of students were surveyed as to how much non-school screen time
GaryK [48]

The percentage of students who spend less than 4 hours a week on screens which reported a grade average below 80 is 50%

Given, we have the report representing children spending time online, on social media or watching T.V, which has there effect on there grades as above or below 80.

By the question we know that the number of students who spends less than 4 hours a week on screen is:

9 + 9

= 18

And among the 18 students there are 9 students whose grade average is below 80.

So the percentage of the students who spends 4 hours a week on screen is:

= 9 ÷ 18 × 100%

= 100/2

= 50%

hence 50% students spend less than 4 hours a week on screens.

Learn more about Percentage here:

brainly.com/question/843074

#SPJ1

3 0
1 year ago
Instructions
Alina [70]
Well you look for some thing like a fridge the do that exactly the reason i cant give you the numbers is because you may have a different sized item then me
3 0
2 years ago
Katie said, "The ratio of people to pets in my family is 2 to 1. For every two people we have one pet." If her family has three
vivado [14]
6 people because there is 2 times as many humans compared to pets. so 3 x 2 = 6!
6 0
3 years ago
Read 2 more answers
What is 7 more than five times the number 9 divided by 15?
vlada-n [284]

Answer:

10

Step-by-step explanation:

3 0
3 years ago
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