Anish Buchanan

2021-02-12

A famous NBA player appears at a local hot spot an average once every month. What is the probability that he will make an appearce at this same local that hot spot more than 2 times in a three month span?

Arham Warner

Skilled2021-02-13Added 102 answers

Let X be number of times a famous NBA player appears at a local hot spot.

Since this is a rare event, X follows Poisson distribution with mean 1. That is,$\lambda =1$ per month.

For three months$\lambda =1\cdot 3=3.$

If X is the Poisson random variable, then the probability mass function of X is

$P(X=x)=\frac{{e}^{-\lambda}{\lambda}^{x}}{x!},x=0,1,2$ ,.......

Then, the probability that he will make an appearance at the local hot spot more than 2 times is

$P(X>2)=1-P(X\le 2)$

$=1\{P(X=0)+P(X=1)+P(X=2)\}$

$=1-\{\frac{{e}^{-3}{3}^{0}}{0!}+\frac{{e}^{-3}{3}^{1}}{1!}+\frac{{e}^{-3}{3}^{2}}{2!}\}$

$=1-\{0.0498+0.1494+0.2240\}$

$=1-0.4232$

$=0.5768$

Thus, the probability that he will make an appearance at the local hot spot more than 2 times is 0.5768.

Since this is a rare event, X follows Poisson distribution with mean 1. That is,

For three months

If X is the Poisson random variable, then the probability mass function of X is

Then, the probability that he will make an appearance at the local hot spot more than 2 times is

Thus, the probability that he will make an appearance at the local hot spot more than 2 times is 0.5768.

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

Which operation could we perform in order to find the number of milliseconds in a year??

$60\cdot 60\cdot 24\cdot 7\cdot 365$ $1000\cdot 60\cdot 60\cdot 24\cdot 365$ $24\cdot 60\cdot 100\cdot 7\cdot 52$ $1000\cdot 60\cdot 24\cdot 7\cdot 52?$ Tell about the meaning of Sxx and Sxy in simple linear regression,, especially the meaning of those formulas

Is the number 7356 divisible by 12? Also find the remainder.

A) No

B) 0

C) Yes

D) 6What is a positive integer?

Determine the value of k if the remainder is 3 given $({x}^{3}+k{x}^{2}+x+5)\xf7(x+2)$

Is $41$ a prime number?

What is the square root of $98$?

Is the sum of two prime numbers is always even?

149600000000 is equal to

A)$1.496\times {10}^{11}$

B)$1.496\times {10}^{10}$

C)$1.496\times {10}^{12}$

D)$1.496\times {10}^{8}$Find the value of$\mathrm{log}1$ to the base $3$ ?

What is the square root of 3 divided by 2 .

write $\sqrt[5]{{\left(7x\right)}^{4}}$ as an equivalent expression using a fractional exponent.

simplify $\sqrt{125n}$

What is the square root of $\frac{144}{169}$