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dedylja [7]
3 years ago
10

A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 stude

nts registered for the course.a. Compute the probability that two or fewer will withdraw.b. Compute the probability that exactly four will withdraw.c. Compute the probability that more than three will withdraw.d. Compute the expected number of withdrawals.
Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that a university found that 20% of its students withdraw without completing the introductory statistics course.

Each student is independent of the other and there are only two outcomes

X no of students in the registered 20 is binomial with p = 0.2

a)the probability that two or fewer will withdraw.

=P(X\leq 2)\\=0.2061

b. Compute the probability that exactly four will withdraw.

=P(X=4) = 0.2182

c. Compute the probability that more than three will withdraw.

=P(X>3)\\\\=1-F(2)\\= 1-0.4115\\=0.5885

d. Compute the expected number of withdrawals.

E(x) = np = 4

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A solar lease customer built up an excess of 6,500 kilowatts hour (kwh) during the summer using his solar panels. when he turned his electric heat on, the excess be used up at 50 kilowatts hours per day .

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Answer:

a. E = 6500 - 50d

b. E = 5000

Step-by-step explanation:

Given

Excess = 6500kwh

Rate = 50kwh/day

Solving (a): E in terms of d

The Excess left (E) in d days is calculated using:

E = Excess - Rate * days

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Substitute values for Excess, Rate and days

E = 6500 - 50 * d

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