A six-faced die is rolled .
1 answer:
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Answer:
(a) 11.25 and 1.68
(b) 0.1651
(c) 0.3903
(d) 0.6865
Step-by-step explanation:
We are given that GTC, the Georgetown Telephone Company, reports it can resolve customer problems the same day they are reported in 75% of the cases and suppose the 15 cases reported today are representative of all complaints.
This situation can be represented through Binomial distribution as;
where, n = number of trials (samples) taken = 15
r = number of success
p = probability of success which in our question is % of cases in
which customer problems are resolved on the same day, i.e.;75%
So, here X ~
(a) Expected number of problems to be resolved today = E(X)
E(X) = = n * p = 15 * 0.75 = 11.25
Standard deviation = =
=
= 1.68
(b) Probability that 10 of the problems can be resolved today = P(X = 10)
P(X = 10) =
= = 0.1651
(c) Probability that 10 or 11 of the problems can be resolved today is given by = P(X = 10) + P(X = 11)
=
= = 0.3903
(d) Probability that more than 10 of the problems can be resolved today is
given by = P(X > 10)
P(X > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)
=
=
= 0.6865
Probability that no zebras collide is 0.25
The zebras are represented as z1, z2 and z3.
Z1 to B, Z2 to C, and Z3 to A come first
Following that, z1 to C, z2 to A, and z3 to B =
Consequently, the likelihood of no collision is 2×1/8 = 0.25.
<h3>What are the types of probability distributions ?</h3>Discrete and continuous probability distributions are the two main categories in which probability distributions fall. There are numerous varieties of probability distributions within each category.
- The number of favorable outcomes of an event divided by the total number of possible outcomes of an event can be used to calculate the probability of an event.
- The likelihood of a sure or certain event is one.
- The likelihood of an impossibility is 0 (0).
- Every event has a probability between 0 and 1.
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