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coldgirl [10]
2 years ago
11

Alex's home run hitting distance is normally distributed with a mean of 410 feet and a standard deviation of 29 feet. He wanted

to find the probability that his home runs traveled at least 375 feet. He calculated the z-score to be −1.21 and looked up the probability on the Standard Normal Probabilities table. He found that the table stated his probability as 0.1131. Determine whether Alex made an error in his calculation and explain.
Mathematics
2 answers:
oksian1 [2.3K]2 years ago
8 0

The table value is not the probability Alex is looking for. It gives P(z < -1.21) and Alex wants P(z > -1.21). To finish his calculation, Alex needs to subtract the table value from 1.

If Alex made an error, it was that he took the table value as being the probability he wanted. It is not. All of his calculations so far are error-free. He isn't finished yet.

schepotkina [342]2 years ago
5 0
<h2>Answer with explanation:</h2>

Given : Alex's home run hitting distance is normally distributed with a mean of 410 feet and a standard deviation of 29 feet.

Let x be the random variable that represents the Alex's home run hitting distance.

He wanted to find the probability that his home runs traveled at least 375 feet.

i.e. P(x\geq375)

He calculated the z-score to be −1.21

That means he need to find P(z\geq-1.21) corresponds to  P(x\geq375)

Now,  P(z\geq-1.21)=1-P(z , here Ales made error , he calculated the Probability corresponding to P(z.

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Answer:

Option b

Step-by-step explanation:

Given that the probability distribution of X, where X is the number of job applications completed by a college senior through the school’s career center.

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x p(x) p(x)*1000  

   

0 0.002 2  

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2 0.115 115 15 100

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1 1000

We find that there is a large difference in 2 job application

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A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year
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Answer:

The required equation is y = 18(1.15)^x.

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Consider the provided information.

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Now verify this by substituting x=1 in above equation.

y = 18(1.15)^1=20.7

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We have been given that Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount 1.03.

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An exponential growth function is in form y=a(1+r)^x, where

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