Police plan to enforce speed limits during the morning rush hour on four different routes intothe city. The traps on routes A, B, C, and D are operated 40% , 30%, 20%, and 30% of thetime, respectively. Calvin always speeds to class, and he has probability 0.2, 0.1, 0.5, and 0.2of using those routes.(a) What is the probability that he will get a ticket on any one morning

The probability that Calvin will get a ticket on any one morning is 0.27.

Step-by-step explanation:

Denote the events as follows:

X = Calvin will get a ticket

B = trap on route B is operated when a person is speeding

C = trap on route C is operated when a person is speeding

D = trap on route D is operated when a person is speeding

The information provided is:

The law of total probability states that:

Use this law to compute the probability that Calvin will get a ticket on any one morning as follows:

Thus, the probability that Calvin will get a ticket on any one morning is 0.27.

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step-by-step explanation: