2 years ago

In a survey, a group of students were asked to name their favorite day of the week. There were 8 students who chose “other”.

1 answer:

6 0

5 % of the students choose other. 95% choose either Saturday or Sunday.
Let x be the number of students who participated.

(5/100) * x = 8 Multiply both sides by 100
5 * x = 8*100
5*x = 800 Divide by 5
x = 800/5
x = 160 students participated in the survey <<<<< Answer

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2 years ago

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The number of throws that the player make X follows binomial distribution.

The probability that the player makes x throws out of eleven throws is

$P(X=x)=C(x,11)0.5^x(0.5)^{11-x}=C(x,11)0.5^{11}$

The probability that the player makes at most nine out of eleven free throws

$\sum_{x=0}^9C(x,11)0.5^{11}=1-\sum_{x=10}^{11}C(x,11)0.5^{11}\\ =1-C(10,11)0.5^{11}-C(11,11)0.5^{11}=1-\frac{12}{2^{11}} \\ =1-\frac{3}{512} =\frac{509}{512}$