1. The head of the student council at a school with 500 total students conducts a survey among 25

Mathematics

1 answer:

andriy [413]3 years ago

5 0

Answer:

Step-by-step explanation:

If you do a proportion it would be the number of students who put basketball in the survey over the total number of students surveyed. The on the other side it would be x over 500 since 500 is the total number of students.

5/ 25 = x/500

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2 years ago

(4.1.4) Let X and Y be Bernoulli random variables. Let Z = X + Y. a. Show that if X and Y cannot both be equal to 1, then Z is a

Fynjy0 [20]

Step-by-step explanation:

Given that,

X ~ Bernoulli $(p_x)$ and Y ~ Bernoulli $(y_x)$

X + Y = Z

The possible value for Z are Z = 0 when X = 0 and Y = 0

and Z = 1 when X = 0 and Y = 1 or when X = 1 and Y = 0

If X and Y can not be both equal to 1 , then the probability mass function of the random variable Z takes on the value of 0 for any value of Z other than 0 and 1,

Therefore Z is a Bernoulli random variable

If X and Y can not be both equal to 1

then,

$p_z = P(X=1$ or $Y=1)\\$