TABLE 2 shows the probability distribution of X number of new handphone sold per day at a cellular phone company kiosk. TABLE 2 8 9 10 P(X = x) | 0.03 0.08 0.15 0.20 6 7 11 12 13 14 0.19 | 0.16| 0.10 | 0.07| 0.02 a. Show that the above distribution is a probability distribution of the random variable X. b. Find the probability that the worker at the kiosk to sell at least 10 new handphones per day. Is it possible for the worker at the kiosk to sell more than 14 new handphones? Justify your с.

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TABLE 2 shows the probability distribution of X number of new handphone sold per day at a
cellular phone company kiosk.
TABLE 2
6
9 10
0.19 0.16| 0.10 | 0.07| 0.02
7
8
11
12
13
14
P(X = x)
0.03 0.08 0.15 0.20
Show that the above distribution is a probability distribution of the random variable X.
a.
b. Find the probability that the worker at the kiosk to sell at least 10 new handphones per day.
c. Is it possible for the worker at the kiosk to sell more than 14 new handphones? Justify your
answer.
d. Draw a graph for the probability of distribution of X.
e. Calculate the expected number of new handphones to be sold per day. Interpret the result.
f. Compute the standard deviation of new handphones to be sold per day.
Transcribed Image Text:TABLE 2 shows the probability distribution of X number of new handphone sold per day at a cellular phone company kiosk. TABLE 2 6 9 10 0.19 0.16| 0.10 | 0.07| 0.02 7 8 11 12 13 14 P(X = x) 0.03 0.08 0.15 0.20 Show that the above distribution is a probability distribution of the random variable X. a. b. Find the probability that the worker at the kiosk to sell at least 10 new handphones per day. c. Is it possible for the worker at the kiosk to sell more than 14 new handphones? Justify your answer. d. Draw a graph for the probability of distribution of X. e. Calculate the expected number of new handphones to be sold per day. Interpret the result. f. Compute the standard deviation of new handphones to be sold per day.
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