Let discrete random variable X represeant the number of addictive substances used by subjects is a study. The following table summarize the frequency distribution for this random variable. (Data are randomly generated) Number of addictive substances used 0 1 2 3 4 5 6 7 8 9 Frequency 153 351 151 81 47 24 10 10 3 1 A subject is selected at random from those involved in the study. Let p₁ be the probability that the subject used 2 addictive substances, p2 the probability that the subject used fewer than 4 addictive substances, p3 the probability that the subject used more than 6 addictive substances, and p4 the probability that the subject used between 5 and 8 addictive substances, inclusive. Then the P1, P2, P3, and P4 are, respectively, (Choose one from the following which is closest to the correct answer.)

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Let discrete random variable X represeant the number of addictive substances used by subjects is a
study. The following table summarize the frequency distribution for this random variable. (Data are
randomly generated)
Number of addictive
substances used
0 1 2 3 4 5 6 7 8 9
Frequency
153 351 151 81 47 24 10 10 3 1
A subject is selected at random from those involved in the study. Let p₁ be the probability that the
subject used 2 addictive substances, p2 the probability that the subject used fewer than 4 addictive
substances, p3 the probability that the subject used more than 6 addictive substances, and p4 the
probability that the subject used between 5 and 8 addictive substances, inclusive. Then the P₁, P2,
P3, and P4 are, respectively, (Choose one from the following which is closest to the correct answer.)
O a. 0.1817, 0.8857, 0.0168, 0.0277.
O b. 0.1817, 0.8857, 0.0168, 0.0529.
e. 0.1817, 0.8857, 0.0289, 0.0566.
O d. 0.1817, 0.9422, 0.0168, 0.0566.
O c. 0.1817, 0.8857, 0.0168, 0.0566.
Transcribed Image Text:Let discrete random variable X represeant the number of addictive substances used by subjects is a study. The following table summarize the frequency distribution for this random variable. (Data are randomly generated) Number of addictive substances used 0 1 2 3 4 5 6 7 8 9 Frequency 153 351 151 81 47 24 10 10 3 1 A subject is selected at random from those involved in the study. Let p₁ be the probability that the subject used 2 addictive substances, p2 the probability that the subject used fewer than 4 addictive substances, p3 the probability that the subject used more than 6 addictive substances, and p4 the probability that the subject used between 5 and 8 addictive substances, inclusive. Then the P₁, P2, P3, and P4 are, respectively, (Choose one from the following which is closest to the correct answer.) O a. 0.1817, 0.8857, 0.0168, 0.0277. O b. 0.1817, 0.8857, 0.0168, 0.0529. e. 0.1817, 0.8857, 0.0289, 0.0566. O d. 0.1817, 0.9422, 0.0168, 0.0566. O c. 0.1817, 0.8857, 0.0168, 0.0566.
Expert Solution
Step 1: Given

The given data is:

Substance used0123456789
Frequency153351151814724101031

Total frequency=153+351+151+81+47+24+10+10+3+1=831

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