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Elanso [62]
3 years ago
8

A random sample of size n1 = 16 is selected from a normal population with a mean of 75 and standard deviation of 8. A second ran

dom sample of size n2 = 9 is taken independently from another normal population with mean 70 and standard deviation of 12. Let X1 and X2 be the two sample means. Find
(a) The probability that X1 − X2 exceeds 4.
(b) The probability that 3.5 < X1 − X2 < 5.5.

Mathematics
1 answer:
gavmur [86]3 years ago
4 0

Answer:

the answer is in the attached image below

Step-by-step explanation:

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2 years ago
Variable termes X-12-3X+22
adell [148]

Answer: x + 12 = 3x + -22

12 + x = 3x + -22

Reorder the terms:

12 + x = -22 + 3x

Solving

12 + x = -22 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

12 + x + -3x = -22 + 3x + -3x

Combine like terms: x + -3x = -2x

12 + -2x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0

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Add '-12' to each side of the equation.

12 + -12 + -2x = -22 + -12

Combine like terms: 12 + -12 = 0

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Combine like terms: -22 + -12 = -34

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Divide each side by '-2'.

x = 17

Simplifying

x = 17

7 0
2 years ago
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