Smoking by Race for Males Aged 18-24 Smoker Nonsmoker Row Total
(S) (N)
White(W) 290 560 850
Black(B) 30 120 150
Column Total 320 680 1,000
Calculate the probabilities given below (Round your answers to 4 decimal places.):
i. P(S) 0.3200
ii. P(W) 0.8500
iii. P(S | W) 0.2720
iv. P(S | B) 0.0300
v. P(S and W) 0.9062
vi. P(N and B) 0.1765

(i) 0.32          (ii) 0.85

(iii) 0.3412    (iv) 0.20

(v) 0.29         (vi) 0.12

Step-by-step explanation:

The data provided is as follows:

   Race                    Smoker (S)         Nonsmoker (N)             Row Total

 White(W)                    290                       560                           850

  Black(B)                     30                        120                           150

Column Total                320                       680                        1,000

(i)

Compute the value of P (S) as follows:

P (S) = 0.32.

(ii)

Compute the value of P (W) as follows:

P (W) = 0.85.

(iii)

Compute the value of P (S|W) as follows:

P (S|W) = 0.3412.

(iv)

Compute the value of P (S|B) as follows:

P (S|W) = 0.20.

(v)

Compute the value of P (S∩W) as follows:

P (S∩W) = 0.29.

(vi)

Compute the value of P (N∩B) as follows:

P (S∩W) = 0.12.

12.5 feet

step-by-step explanation: