A small deck of 5 cards consists of 3 red cards and 2 green cards. Draw 7 times with replacement.

Find the probability that a red card is drawn exactly 5 times.

0.0776

Step-by-step explanation:

Number of cards = 5 ; 3 red and 2 green

Since it is with replacement :

Probability of picking a replacement d ball: P(red) = required / total possible outcomes

P(red) = 3 / 5 = 0.6

Using binomial :

P(x =x) = nCx * p(x)^x * (1 - p)^(n - r)

P(x = 5) = 5C5 * (0.6)^5 * 0.4^0

P(x = 5) = 1 * 0.07776 * 1

P(x = 5) = 0.0776

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734