Question
97. An experiment consists of first rolling a die and then tossing a coin: a. How many elements are there in the sample space? b.
97.
An experiment consists of first rolling a die and then tossing a coin:
a. How many elements are there in the sample space?
b. Let A be the event that either a 2, 3 or 4 is rolled first, followed by landing a head on the coin toss. P(A) = Present your answer as a decimal rounded to four decimal places.
c. Let B be the event that a number less than 2 is rolled, followed by landing a head on the coin toss. Are the events A and B mutually exclusive?
- Yes, they are Mutually Exclusive
- No, they are not Mutually Exclusive
_______________________
96.
You roll two six-sided fair dice.
a. Let A be the event that either a 3 or 4 is rolled first followed by an odd number. P(A) = Round your answer to four decimal places.
b. Let B be the event that the sum of the two dice is at most 7. P(B) = Round your answer to four decimal places.
c. Are A and B mutually exclusive events?
- Yes, they are Mutually Exclusive
- No, they are not Mutually Exclusive
d. Are A and B independent events?
- They are not Independent events
- They are Independent events
_________________________
93.
A manager gathers some demographic information from the store's customers. The following chart summarizes the age-related information that was collected:
Age | Number of Customers |
---|---|
<20<20 | 51 |
20-29 | 67 |
30-39 | 94 |
40-49 | 64 |
50-59 | 98 |
6060 | 79 |
One customer is chosen at random for a prize giveaway. Please enter reduced fractions What is the probability that the customer is at least 20 but no older than 40? What is the probability that the customer is either older than 40 or younger than 20? What is the probability that the customer is at least 50?
__________________________________
92. A jar contains 8 red marbles numbered 1 to 8 and 12 blue marbles numbered 1 to 12. A marble is drawn at random from the jar. Find the probability of the given event, please show your answers as reduced fractions. (a) The marble is red. P(red)= (b) The marble is odd-numbered. P(odd)= (c) The marble is red or odd-numbered. P(red or odd) = (d) The marble is blue or even-numbered. P(blue or even) =
______________________________
91.
The table summarizes results from pedestrian deaths that were caused by automobile accidents.
Driver Intoxicated? | Pedestrian Intoxicated? | |
---|---|---|
Yes | No | |
Yes | 58 | 86 |
No | 276 | 558 |
If two different pedestrian deaths are randomly selected, find the probability that they both involved pedestrians that were not intoxicated. Report the answer rounded to four decimal place accuracy. _________________________
90.
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