Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. Wh
2 answers:
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Answer:
Wendy jogs 13.75 mile in all each week
Step-by-step explanation:
To determine how many miles Wendy jogs in all each week,
we will sum the distance she jogs in the city with her running club in a week to the distance she jogs along the nature trail near her home in a week.
The distance she jugs with her running club = 5.5 mile.
Now, we will determine the distance of the nature trail near her home.
From the question, the nature trail is 1.5 times as long as the route in the city.
Let the distance of the nature trail =
and the distance of the route in the city be
Hence, we can write that
distance of the route in the city, = 5.5 mile
∴
8.25 miles
Hence, the nature trail is 8.25 mile
Then, the number of miles Wendy jogs in all each week is
5.5 mile + 8.25 mile = 13.75 mile
Hence, Wendy jogs 13.75 mile in all each week
Answer:
a. E(F)=0.875
b. 99.9976%
c. P(X=2)=0.1683
Step-by-step explanation:
a. We notice that this is a binomial distribution with the probability of success;
#We are given the sample size, n=7. The Expected value is calculated as:
Hence the expectation, E(F)=0.875
b. To calculate the probability of the range of F, we need to calculate all possible outcomes of F in the given sample;
Hence, the range of F is 99.9976%
c. The probability that F=2 is calculated using the binomial distribution function as:
Hence, the probability of F=2 is 0.1683