Since the mean of the distribution is 110, and the distribution is normal, then 50% of the the people will have scores below 110.
Answer:
x = 2, y = -1
Step-by-step explanation:
Now change the equation,
→ x + y = 1
→ y = 1 - x
Then the value of x will be,
→ 2x + y = 3
→ 2x + 1 - x = 3
→ x = 3 - 1
→ [ x = 2 ]
Therefore, the value of x is 2.
Now value of y will be,
→ y = 1 - x
→ y = 1 - 2
→ [ y = -1 ]
Hence, the value of y is -1.
Answer:
Yes
Step-by-step explanation:
Answer:
that anzwer will be (9) ok
Using the normal distribution, there is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- 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
.
For this problem, these parameters are given as follows:

A sum of 7100 is equivalent to a sample mean of 7100/40 = 177.5, which means that the probability is the <u>p-value of Z when X = 177.5</u>, hence:

By the Central Limit Theorem:


Z = -0.79
Z = -0.79 has a p-value of 0.2148.
There is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.
More can be learned about the normal distribution at brainly.com/question/28135235
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