12:24 AM a boonline broward edu Sprint Direstions: Show appropriate work and/or

Question

12:24 AM a boonline broward edu Sprint Direstions: Show appropriate work and/or explanation in the space provided, and if left in blank, no points will be provided even if your answer is correct. Round t aces, Any value read or calculated from a table Use the same rounding rules as given in the class. Note STAPLE it more than one page. Reduction of 1 points ifnot stapled 1. The amo ount of Jen's monthly phone bill is normally distributed with a mean of $54 and a standard deviation of $11. What is the probability that her next phone bill will be more than $50? ANSWER 2. In one region, the September energy consumption levels for single-family homes are found to be normaly distributed with a mean of 1050 kWh and a standard deviation of 215 kWh. If 50 different homes are randomly selected, find the probability that their mean energy consumption level for September is greater than 1290 kWh. (graph and shade appropriately) ANSWER:

Explanation / Answer

Solution:-
1. Given that mean = 54, sd = 11, x = 50

P(X > 50) = P((x - mean)/sd > (50 - 54)/11)
= P(Z > -0.3636)
= 0.6406

2. Given that mean = 1050, sd = 215 , n = 50 , x = 1290

P(X > 1290) = P(Z > (1290 - 1050)/(215/sqrt(50))
= P(Z > 7.8932)
= 0
  

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