Need Help with #5 4 pts
1 answer:
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Answer:
(-∞, 2)
Step-by-step explanation:
<u>Given functions</u>:
Function composition is an operation that takes two functions and produces a third function.
The <u>composite function</u> (f - g)(x) means to subtract function g(x) from function f(x):
To find the interval for which (f - g)(x) is negative, set the new function to <u>less than zero</u> and solve the <u>inequality</u>:
Therefore, the interval for which (f - g)(x) is negative is (-∞, 2).
Learn more about composite functions here:
Answer:
a) The probability of obtaining a sample mean that is less than or equal to 1770 hours is P(M≤1770)=0.0013.
b) It is unusual, as there are only 13 chances in 10,000 (0.13%) of having this outcome.
Step-by-step explanation:
We have a population lifetime with mean of 1800 hours and standard deviation of 100 hours.
Samples of size n=100 are taken and tested.
We can calculate the probability of obtaining a sample mean that is less than or equal to 1770 hours using a z-score for the sample Mean M=1770 and then calculating its probability according to the standard normal distribution: