flips a fair coin until a tail first appears, and if the number of tosses equals m, then Tom gets a payoff for 2 m pounds. Calculate the expected value of his payoff.

the expected value of Tom's payoff is m²

Step-by-step explanation:

Given the data in the question,

E[x] = mp                                        

where p = 1/2

Now Tom gets payoff pounds until a tail first appears = 2m pounds

so

E[x] = m × 1/2 × 2m

E[x] = m²

Therefore the expected value of Tom's payoff is m²

can you put the picture up?

step-by-step explanation:

45.36 feet per second.

step-by-step explanation:

to find the most accurate determination for the number of feet per second tyrone traveled on his way to work let us convert miles to feet and minutes to seconds.

1 mile = 5280 feet.

1 minute = 60 seconds.

now we will divide 158400 by 3492 to find the most accurate determination for the number of feet per second tyrone traveled on his way to work.

therefore, tyrone traveled on his way to work at the rate of 45.36 feet per second.