Mia has earned $43.94 in tokens playing games at the amusement center. The store in the amusement center has the following toys
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Answer:
(a) The probability that a randomly selected woman shop exactly two hours online is 0.217.
(b) The probability that a randomly selected woman shop 4 or more hours online is 0.0338.
(c) The probability that a randomly selected woman shop less than 5 hours online is 0.9922.
Step-by-step explanation:
Let <em>X</em> = time spent per week shopping online.
It is provided that the random variable <em>X</em> follows a Poisson distribution.
The probability function of a Poisson distribution is:
The average time spent per week shopping online is, <em>λ </em>= 1.2.
(a)
Compute the probability that a randomly selected woman shop exactly two hours online over a one-week period as follows:
Thus, the probability that a randomly selected woman shop exactly two hours online is 0.217.
(b)
Compute the probability that a randomly selected woman shop 4 or more hours online over a one-week period as follows:
P (X ≥ 4) = 1 - P (X < 4)
= 1 - P (X = 0) - P (X = 1) - P (X = 2) - P (X = 3)
Thus, the probability that a randomly selected woman shop 4 or more hours online is 0.0338.
(c)
Compute the probability that a randomly selected woman shop less than 5 hours online over a one-week period as follows:
P (X < 5) = P (X = 0) + P (X = 1) + P (X = 2) + P (X = 3) + P (X = 4)
Thus, the probability that a randomly selected woman shop less than 5 hours online is 0.9922.