There are two types of cellular phones, handheld phones (H)that you carry and monile phones (M) that are mounted invehicles. Phone calls can be classified by the travelingspeed of the user as fast (F) or slow (W). The probabilitymodel for this experiment has the following information: P[F] =0.5, P[HF] = 0.2, P[MW] = 0.1. What is the sample space ofthe experiment? Calculate the followng probabilites:a) P[W]b) P[MF]c) P[H]

Explained below.

Step-by-step explanation:

(1)

Sample space is a set of all possible outcomes of an experiment.

The sample space in this case is:

S = {HF, HW, MF, MW}

(a)

Compute the value of P (W) as follows:

P (F) + P (W) = 1

P (W) = 1 - P (F)

P (W) = 1 - 0.50

P (W) = 0.50

(b)

Compute the value of P (MF) as follows:

P (HF) + P (MF) = P (F)

P (MF) = P (F) - P (HF)

P (MF) = 0.50 - 0.20

P (MF) = 0.30

(c)

Compute the value of P (M) as follows:

P (M) = P (MF) + P (MW)

P (M) = 0.30 + 0.10

P (M) = 0.40

Compute the value of P (H) as follows:

P (H) + P (M) = 1

P (H) = 1 - P (M)

P (H) = 1 - 0.40

P (H) = 0.60

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

a. -0.3 > -0.33