There are 64 students in a speech contest. Yesterday, Ā of them gave their speeches. Today, 7 of the remaining students gave the
1 answer:
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Answer:
(a) The probability that a randomly selected parcel arrived late is 0.026.
(b) The probability that a parcel was late was being shipped through the overnight mail service A₁ is 0.615.
(c) The probability that a parcel was late was being shipped through the overnight mail service A₂ is 0.192.
(d) The probability that a parcel was late was being shipped through the overnight mail service A₃ is 0.192.
Step-by-step explanation:
Consider the tree diagram below.
(a)
The law of total probability sates that:
Use the law of total probability to determine the probability of a parcel being late.
Thus, the probability that a randomly selected parcel arrived late is 0.026.
(b)
The conditional probability of an event A provided that another event B has already occurred is:
Compute the probability that a parcel was late was being shipped through the overnight mail service A₁ as follows:
Thus, the probability that a parcel was late was being shipped through the overnight mail service A₁ is 0.615.
(c)
Compute the probability that a parcel was late was being shipped through the overnight mail service A₂ as follows:
Thus, the probability that a parcel was late was being shipped through the overnight mail service A₂ is 0.192.
(d)
Compute the probability that a parcel was late was being shipped through the overnight mail service A₂ as follows:
Thus, the probability that a parcel was late was being shipped through the overnight mail service A₃ is 0.192.
Answer:
Step-by-step explanation:
1. Divide the coefficients and the exponentials separately
2. Divide the coefficients
3. Divide the exponentials
Subtract the exponent in the denominator from the exponent in the numerator.
4. Re-join the new coefficient and the new exponential
5. Put the new number into standard form
The number before the power of 10 must be greater than or equal to one and less than 10.
Multiply the answer by 10/10.