When a certain glaze is applied to a ceramic surface, the probability is 5% that there will be discoloration, 20% that there wil
l be a crack, and 23% that there will be either discoloration or a crack, or both. A ceramic surface is selected at random. Let X = 1 if there is discoloration, and let X = 0 otherwise. Let Y = 1 if there is a crack, and let Y = 0 otherwise. Let Z = 1 if there is either discoloration or a crack or both, and let Z = 0 otherwise.Let pX denote the success probability for x. find pX.
px represent the success probability for X, meaning that it is just the probability that there is a discoloration of the applied glaze on the ceramic surface and for only one sample, the probability that the sample is discoloured is evidently given as 5% = 0.05
Probability that the cost will be less than $500 is 0.95994 .
Step-by-step explanation:
We are given that Money magazine reported that a visit to a hospital emergency room for something as simple as a sore throat has a mean cost of $348 with a standard deviation of $87.
Let X = cost of a hospital emergency room visit for this medical service
So, X ~ N()
The standard normal z score distribution is given by;
Z = ~ N(0,1)
(a) Probability that the cost will be less than $500 = P(X < $500)