Question

1. A football team plays in a city that has a fair chance of rain on any given day. Suppose this upcoming Sunday there is a 62% chance of rain. If it is raining,
they can expect to score 3 touchdowns. If the weather is clear, they can expect to score 5 touchdowns. What is the expected number of touchdowns they score?

2. There is a prize drawing for a new computer and a new stereo system.Suppose there are 1500 raffle tickets sold. The computer is worth $1000 and the stereo system is worth $500. If the tickets cost $5, what is the expected value if you purchase one ticket?

Answer 1

\[.62\times 3+.48\times 5\]

Answer 2

I had 3.76

Answer 3

Isn't it .38?

Answer 4

second one we can work as follows, suppose you by all the raffle tickets
you spend \[1500\times \$5=\$7500\] you get back $1500 for a net loss of $6000
divided by the total number of tickets the expected loss per ticket is
\[\$6000\div 1500=\$4\] so expected value is -$4

Answer 5

Satellite, could you please help me once you're done here? :)

Answer 6

i get for the first one
\[.62\times 3+.38\times 5=3.76\]

Answer 7

Thank you :)

Answer 8

yw