Suppose 64% of people watch the news, 78% of people watch si…

Suppose 64% of people watch the news, 78% of people watch sitcoms, and 55% watch both.  Answer the following questions.  Leave answers as a fraction or round to 4 decimal places as necessary. a) What is the probability that a randomly selected person watches the news or sitcoms?  [a] b) Given that a randomly selected person watches the news, what is the probability they also watch sitcoms? [b] c) Is watching the news and watching sitcoms mutually disjoint?  [c]        On your scratch, explain why.

Answer the following questions related to the probability de…

Answer the following questions related to the probability density curve of a continuous random variable shown below.  Leave answers as a fraction or round to 4 decimals, as necessary.   a) the entire are under the curve must be equal to [a].  b) Find the probability that x is less than 9.  [b] c) Find the probability that x is between 4 and 8.  [c]

Build a tree diagram for the following scenario on your scra…

Build a tree diagram for the following scenario on your scratch.  You want ice cream.  First, you have to decide between vanilla, chocolate, or strawberry.  There is a 50% chance you pick vanilla and 20% chance you pick chocolate.  Next comes the topping, sprinkles or fruit( not both).  If you choose vanilla, there is a 70% chance that you pick fruit.  If you choose strawberry, there is a 80% chance of you getting sprinkles.  Lastly, if you choose chocolate, there is a 40% chance that you go with fruit.  6 pts Answer the following probabilities. a) what is the probability you get chocolate and fruit? [a] b) what is the probability you get vanilla or sprinkles? [b] c) What is the probability you get gummy bears?  [c]