. Let the random variable P be the air pressure in a car tire, and assume that P is uniformly distributed between 29 and 34 pounds per square inch (psi). Recall that this means that the density curve for P is a flat, horizontal line at some constant level c above the interval from 29 psi to 34 psi. (a) Find the probability that the pressure of a tire will be above 31.7 psi.

The probability is

Step-by-step explanation:

From the question we are told that

   P  is uniformly distributed between and pounds per square inch (psi)

Generally the uniform distribution cumulative distribution  function is mathematically represented as

Generally the probability that the pressure of a tire will be above 31.7 psi

=>  

=>  

$47.66

Step-by-step explanation:

The cost of the sweater is calculated by multiplying .7 x $35. (70% represents the cost of the sweater since there is a 30% discount.). The sweater cost $24.50.

The cost of the jeans is .85 x $28 = $23.80.

The total cost is $24.50 + $23.80 = $43.80.

The tax rate is 8%, which is calculated by multiplying .08 x $43.80 = $3.86 in sales tax.

Including the sales tax, the total cost is $43.80 + 3.86 = $47.66