Question
In: Statistics and Probability
1. A shipment of 12 microwave ovens contains 2 defective units. A restaurant buys three of...
1. A shipment of 12 microwave ovens contains 2 defective units. A restaurant buys three of these units. What is the probability of the restaurant buying at least two nondefective units?
2. You look over the songs in a jukebox and determine that you like 17 of the 59 songs.
(a) What is the probability that you like the next four songs that are played? (Assume a song cannot be repeated.)
(b) What is the probability that you do not like the any of the next four songs that are played? (Assume a song cannot be repeated.)
Solutions
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orchestra answered 1 year agoRelated Solutions
A shipment of 13 microwave ovens contains for defective units. A restaurant buys three of these...
A
shipment of 13 microwave ovens contains for defective units. A
restaurant buys three of these units. What is the probability of
the restaurant by at least 2 non defective units? The probability
of the restaurant buying at least 2 nondefective units is
A shipment of 9 microwave ovens contains 3 defective units. A restaurant buys four of these...
A shipment of 9 microwave ovens contains 3 defective units. A
restaurant buys four of these units. What is the probability of the
restaurant buying at least three non-defective units?
Suppose a large shipment of microwave ovens contained 4% defectives. If a sample of size 362...
Suppose a large shipment of microwave ovens contained 4%
defectives. If a sample of size 362 is selected, what is the
probability that the sample proportion will differ from the
population proportion by less than 3%? Round your answer to four
decimal places.
Suppose a shipment of 140 electronic components contains 4 defective components. To determine whether the shipment...
Suppose a shipment of 140 electronic components contains 4
defective components. To determine whether the shipment should be
accepted, a quality control engineer randomly selects 4 of the
components and test them. If 1 or more of the components is
defective, the shipment is rejected. what is the probability that
the shipment rejected?
A shipment of 6 television sets contains 2 defective sets. A hotel makes a random purchase...
A shipment of 6 television sets contains 2 defective sets. A
hotel makes a random purchase of 3 of the sets. If x is the number
of defective sets purchased by the hotel, find the cumulative
distribution function of the random variable X representing the
number of defective. Then using F(x), find
(a)P(X= 1) ;
(b)P(0< X≤2).
A shipment of 1000 radios contains 15 defective ones. a) If an inspector selects 10 to...
A shipment of 1000 radios contains 15 defective ones. a) If an
inspector selects 10 to sample, what is the % chance he will detect
at least one defect? b) How many radios must be sampled to yield a
50+% chance of detecting a defect?
A certain large shipment comes with a guarantee that it contains no more than 25% defective...
A certain large shipment comes with a guarantee that it contains
no more than 25% defective items. If the proportion of items in the
shipment is greater than 25%, the shipment may be returned. You
draw a random sample of 12 items and test each one to determine
whether it is defective.
a. If in fact 25% of the items in the shipment are defective (so
that the shipment is good, but just barely) what is the probability
that 7...
A certain large shipment comes with a guarantee that it contains no more than 20% defective...
A certain large shipment comes with a
guarantee that it contains no more than 20% defective items. If the
proportion of items in the shipment is greater than 20%, the
shipment may be returned. You draw a random sample of 10 items and
test each one to determine whether it is defective.
If in fact 20% of the items in the shipment are defective (so that
the shipment is good, but just barely) what is the probability that
7...
A certain large shipment comes with a guarantee that it contains no more than 20% defective...
A certain large shipment comes with a
guarantee that it contains no more than 20% defective items. If the
proportion of items in the shipment is greater than 20%, the
shipment may be returned. You draw a random sample of 10 items and
test each one to determine whether it is defective. Assume
X
P(X)
P ( X = 0) = C (10,0) * 0.2^0 * ( 1 - 0.2)^10=
0
0.1074
P ( X = 1) = C (10,1)...
A shipment contains 200 items of which 50 are defective. A sample of 16 items from the shipment is selected at random without replacement.
A shipment contains 200 items of which 50 are defective. A sample of 16 items from the shipment is selected at random without replacement. We accept the shipment if at most 3 items in the sample are defective. (a) Write down (but do not evaluate) an exact formula for the probability of acceptance. (b) Use a Table to give the decimal value for the binomial approximation of the probability of acceptance. Show your work. (c) Suppose instead that the shipment contains 500 items of...
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