Respuesta :
Answer:
Option: D is the correct answer.
The probability is: 0.50
Step-by-step explanation:
Weight/Calories 1000-1500 1500-2000 2000-2500 Total
120 lb. 90 80 10 180
145 lb. 35 143 25 203
165 lb. 15 27 75 117
Total 140 250 110 500
We are asked to find the probability that a person consumes 1500-2000 calories in a day.
Total number of people who were surveyed=500
Total number of people who consume 1500-2000 calories in a day are:250
Hence, Probability is:
250/500=1/2=0.50
Answer: D. 0.50
Step-by-step explanation:
Formula for probability :
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
The given two-way table :
Weight/Calories 1000-1500 1500-2000 2000-2500 Total
120 lb. 90 80 10 180
145 lb. 35 143 25 203
165 lb. 15 27 75 117
Total 140 250 110 500
To find the probability that a person consumes 1500-2000 calories in a day., we need :
a) The total number of people surveyed. (Total outcomes)
b) The number of people consume 1500-2000 calories in a day. (favorable outcomes)
From the above table,
Total people surveyed=500
Number of people consume 1500-2000 calories in a day are=250
Then , the required probability will be :-
[tex]\text{P(person consumes 1,500 to 2,000 calories in a day)}=\dfrac{250}{500}=\dfrac{1}{2}\\\\=0.50[/tex]
Hence, the probability that a person consumes 1,500 to 2,000 calories in a day=0.50
