A component may come from any one of three manufacturers with probabilities p1=0.25, p2=0.50, and p3=0.25. The probabilities that the components will function properly are a function of the manufacturer and are 0.1, 0.2, and 0.4 for the first, second, and third manufacturer, respectively. a. Compute the probability that a randomly chosen component will function properly. b. Compute the probability that three components in series randomly selected will function properly
A component may come from any one of three manufacturers with probabilities p1=0.25, p2=0.50, and p3=0.25. The probabilities that the components will function properly are a function of the manufacturer and are 0.1, 0.2, and 0.4 for the first, second, and third manufacturer, respectively. a. Compute the probability that a randomly chosen component will function properly. b. Compute the probability that three components in series randomly selected will function properly
A component may come from any one of three manufacturers with probabilities p1=0.25, p2=0.50, and p3=0.25. The probabilities that the components will function properly are a function of the manufacturer and are 0.1, 0.2, and 0.4 for the first, second, and third manufacturer, respectively. a. Compute the probability that a randomly chosen component will function properly. b. Compute the probability that three components in series randomly selected will function properly
A component may come from any one of three manufacturers with probabilities p1=0.25, p2=0.50, and p3=0.25. The probabilities that the components will function properly are a function of the manufacturer and are 0.1, 0.2, and 0.4 for the first, second, and third manufacturer, respectively.
a. Compute the probability that a randomly chosen component will function properly.
b. Compute the probability that three components in series randomly selected will function properly
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
Expert Solution
Step 1
Given that:
Probabilities of coming from the 3 manufacturers are respectively:
Probabilities that the components coming from manufacturers function properly are:
a) Therefore, the probability that a randomly chosen component will function properly is:
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