Answer:
The probability that the eruptions lasted between 1.14 min and 5.5 minutes is greater than 75%
Step-by-step explanation:
The explanation can be found in the attached picture. Chebyshev's <u>inequality </u>was used. It predicts the probability of the random variable to be in ( mean- K* standard dev< x < mean + K*standard dev).
Note: K must be greater than 1
Answer:
b.75
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem:
Mean of the population is 75.
By the Central Limit Theorem,
The mean of the sample, , is expected to be also 75.
So the correct answer is:
b.75
Given:
To find:
The highest and lowest scores Sam could have made in the tournament.
Solution:
We have,
It can be written as
Add 288 on both sides.
and
and
Therefore, the highest and lowest scores Sam could have made in the tournament are 290 and 286 respectively.