Suppose individuals with a certain gene have a 0.70 probability of eventually contracting a certain disease. If 100 individuals with the gene are randomly selected. The random variable describing the number of individuals who will contract the disease is:

B(0.7, 100)

Step-by-step explanation:

Probability of contracting a certain disease = 0.70

No of individual randomly selected = 100

Contracting the disease is a positive/success in this case, hence

p = 0.7 and since there are 100 selection, the binomial distribution B(0.7, 100)

Hence, the The random variable describing the number of individuals who will contract the disease is B(0.7, 100) distribution.

And Mean = 0.7 x 100 = 70

45.36 feet per second

step-by-step explanation:

tyrone travels 30 miles in 58.2 minutes.  

1 mile = 5280 feet; this means he travels

30(5280) = 158400 feet in 58.2 minutes.

1 minute = 60 seconds; this means he travels 158400 feet in

58.2(60) = 3492 seconds.

this gives us the unit rate of

158400/3492 = 45.36 feet per second.