What is the probability that a student selected at random is a boy?
P( Answer
B
)= Answer

What is the probability that a boy selected at random is a Junior?
P( Answer
J | B
)= Answer

What is the probability of randomly choosing a student who is a Junior and a boy?
P(J Answer

B)= Answer

What is the probability of randomly choosing a student who is a girl given that she is not junior?
P( Answer
G | J '
)= Answer

What is the probability of randomly selecting a girl?
P(G)= Answer

What is the probability that a student selected at random is a boy P Answer B Answer What is the probability that a boy selected at random is a Junior P Answer class=

Respuesta :

Answer:

Pr(B) = 0.69

Pr(J/B) = 0.35

Pr(J∩B) = 0.14

Pr(G/J') = 0.66

Pr(G) = 0.31

Step-by-step explanation:

Applying,

Pr = possible outcome (a)/Total outcome(t)

(1) Pr(B) = a/t............ Equation 1

From the diagram

Given: a = 220+65+35 = 320, t = 220+65+35+145 = 465

Substitute these values into equation 1

Pr(B) = 320/465

Pr(B) = 0.69

(2) Pr(J/B) = (35+65)/(220+65)

Pr(J/B) = 100/285

Pr(J/B) = 0.35

(3) Pr(J∩B) = 65/465

Pr(J∩B) = 0.14

(4) Pr(G/J') = 145/220

Pr(G/J') = 0.66

(5) Pr(G) = 145/465

Pr(G) = 0.31