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VLD [36.1K]
2 years ago
9

Jaden makes 63% of the free throws he shoots. About how many shots do you predict he will have to take to make 15 free throws?

Mathematics
2 answers:
il63 [147K]2 years ago
4 0

Answer:

Step-by-step explanation:

49%

max2010maxim [7]2 years ago
3 0

Answer:

24 shots

Step-by-step explanation:

\frac{15}{y}= \frac{63}{100}

y × 63 = 15 × 100

63y = 1500

63y ÷ 63 = 1500 ÷ 63

y=23\frac{17}{21}

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a) P(X>np+3\sqrt{np(1-p)}=0.017

b) P(x>1)=0.190

c) P(Y>1)=0.651

Step-by-step explanation:

This a binomial experiment where success is denoted by parts that need rework.

X ∼ B(n, p); n = 20; p = 0.01

The expected value of X is: E(X) = np =20×0.01= 0.2

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Probability function is given by:

\frac{n!}{x!(n-x)!} *p^x*(1-p)^{(n-x)}

P(X≥2)=1-P(X<2)=1-P(X=1)-P(X=0)= 1 - \frac{20!}{1!(20-1)!} *(0.01)^{1}*(1-0.01)^{(20-1)}-\frac{20!}{0!(20-0)!} *(0.01)^{0}*(1-0.01)^{(20-0)}

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In this experiment Y is the number of hours and n= 5 hours.

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P(Y>1)=1- P(Y=0)

P(Y=0)=\frac{5!}{0!(5-0)!} *(0.19)^{0}*(1-0.19)^{(5-0)}=0.349

P(Y>1)=1-0.349=0.651

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