8. The mean of the winning scores of a bowling tournament over the last 10 years was 279, with a standard deviation of 3. Consid
1 answer:
We Answer:
84.134% of the scores
Step-by-step explanation:
-This questions needs as to determine the probability of scores less than 282 then find the expectation;
-Let X be the score of a random selection:
The probability of scores below 282 is 0.84134 or 84.134%
Hence, 84.134% of the scores were below 282
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Answer:
option (D) 16.5
Step-by-step explanation:
Data provided:
Sleep time of , X = 15.9 is at the 10th percentile
Standard deviation, σ = 0.5 hour
also,
10th percentile of normal distribution is
Z = F⁻¹(0.10)
or
Z = - 1.28 (Using Standard Normal distribution)
Now,
or
X = μ + ( σ × Z )
or
μ = X - ( σ × Z )
on substituting the respective values, we get
μ = 15.9 - 0.5 × (-1.28)
or
μ = 16.5
Hence, the correct answer is option (D) 16.5