Choose an adult age 18 or over in the United States at random and ask, "How many cups of coffee do you drink on average
per day?" Call the response X for short. Based on a large sample survey, a probability model for the answer
you will get is
given in the table.
Number
Probability
1
2
3
4 or more
0.36 0.26
0.19
0.06
0.11
(b) Describe the event X <4 in words.
The event X <4 is the event in which an individual might drink fewer than 4 cups of coffee on average per day.
The event X <4 is the event in which an individual drinks more than 4 cups of coffee on average per day.
The event X <4 is the event in which an individual might drink more than 4 cups of coffee on average per day.
The event X <4 is the event in which an individual drinks fewer than 4 cups of coffee on average per day.
What is P(X<4)? Give your answer to two decimal places.
P(X <4)=>

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itzamirv2 itzamirv2 · Answer 1 · 2024-03-06T21:45:32+01:00

The event "X < 4" describes the scenario in which an individual drinks fewer than 4 cups of coffee on average per day.

To calculate the probability of this event, we sum the probabilities of drinking 1, 2, or 3 cups of coffee per day:

P(X < 4) = P(X = 1) + P(X = 2) + P(X = 3)

= 0.36 + 0.26 + 0.19

= 0.81

So, the probability of an individual drinking fewer than 4 cups of coffee on average per day is 0.81, or 81%, when rounded to two decimal places.