Using the binomial distribution, it is found that the mean and the standard deviation of variable x are given as follows:

<h3>What is the binomial probability distribution?</h3>
It is the probability of exactly <u>x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
The standard deviation of the binomial distribution is:

In this problem, we have that the parameters are given as follows:
n = 4, p = 0.75.
Hence the mean and the standard deviation are given as follows:
- E(X) = np = 4 x 0.75 = 3.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Antonio runs 1,460 miles in one year

- Cricket = 55%
- Football = 30%
- Other games = Remaining (?)
So, the percent of people who like <u>other games</u> equals:
= 100 – (55 + 30)
= 100 – 85
= 15%
<u>If </u><u>the </u><u>total </u><u>no.</u><u> </u><u>of.</u><u> </u><u>people</u><u> </u><u>is </u><u>6</u><u>0</u><u>,</u><u>0</u><u>0</u><u>,</u><u>0</u><u>0</u><u>0</u>:
★ Cricket
= 60,00,000 × 55/100
= 33,00,000
★ Football
= 60,00,000 × 30/100
= 18,00,000
★ Other sports
= 60,00,000 × 15/100
= 9,00,000
Present area = 120 * 80 = 9600 ft^2 so the new area will be 9600 + 4400 = 14000
So if increase in length = x we have
(x + 120)(x + 80) = 14,000
x^2 + 200x + 9600 - 14000 = 0
x^2 + 200x - 4400 = 0
x = 20 feet answer