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tatuchka [14]
3 years ago
12

Is the following conditional true or false? If it is false, find a counterexample.

Mathematics
1 answer:
Inessa [10]3 years ago
3 0
This statement is always true
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Assume that the random variable X is normally distributed, with mean μ = 110 and standard deviation σ = 20. Compute the probabil
kogti [31]

Answer:

P(X > 126) = 0.2119

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}

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 = 110, \sigma = 20

P(X > 126) is the 1 subtracted by the pvalue of Z when X = 126. So

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

Z = \frac{126 - 110}{20}

[tez]Z = 0.8[/tex]

[tez]Z = 0.8[/tex] has a pvalue of 0.7881.

P(X > 126) = 1 - 0.7881 = 0.2119

5 0
4 years ago
Describe and correct the error please help
Anastasy [175]
I cant answer that, I dont know why????! I usually do!!
6 0
4 years ago
(40pts)
quester [9]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Just work with what is inside the parenthesis

Also, move around the terms to help it make more sense:

(cosA cosB - cosA cosB + sinA sinB + sinA sinB)

As you can see, the 'cosA cosB' would cancel out through subtraction.

Now we have this:

(sinA sinB + sinA sinB)

This is just two sets of sinA sinB so it can be written as:

(2 * sinA sinB)

Simply place the values outside the parenthesis back there to get the answer

SinA sinB = 1/2 * (2 * sinA sinB)

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

5 0
3 years ago
What percent of 50 is 44
PtichkaEL [24]

Answer:

here u go

Step-by-step explanation:

88%

5 0
3 years ago
Read 2 more answers
Can someone help me please
Luden [163]

Answer:

C

Step-by-step explanation:

Subtract column by column from the left, that is

6x² - 3x² = 3x²

- 5x - (+ 8x) = - 5x - 8x = - 13x

3 - (- 4) = 3 + 4 = 7

result of subtraction = 3x² - 13x + 7 → C




7 0
3 years ago
Read 2 more answers
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