Question

In: Statistics and Probability

A box in a certain supply room contains five 40-W lightbulbs, seven 60-W bulbs, and six...

A box in a certain supply room contains five 40-W lightbulbs, seven 60-W bulbs, and six 75-W bulbs. Suppose that three bulbs are randomly selected. (Round your answers to four decimal places.)
(a) What is the probability that exactly two of the selected bulbs are rated 75-W?

(b) What is the probability that all three of the selected bulbs have the same rating?

(c) What is the probability that one bulb of each type is selected?

(d) Suppose now that bulbs are to be selected one by one until a 75-W bulb is found. What is the probability that it is necessary to examine at least six bulbs?

Solutions

Expert Solution


Related Solutions

A box in a certain supply room contains four 40-W lightbulbs, five 60-W bulbs, and seven...
A box in a certain supply room contains four 40-W lightbulbs, five 60-W bulbs, and seven 75-W bulbs. Suppose that three bulbs are randomly selected. (Round your answers to four decimal places.) (a) What is the probability that exactly two of the selected bulbs are rated 75-W? (b) What is the probability that all three of the selected bulbs have the same rating? (c) What is the probability that one bulb of each type is selected? (d) Suppose now that...
A box in a certain supply room contains five 40-W lightbulbs, six 60-W bulbs, and four...
A box in a certain supply room contains five 40-W lightbulbs, six 60-W bulbs, and four 75-W bulbs. Suppose that three bulbs are randomly selected. (Round your answers to four decimal places.) (a) What is the probability that exactly two of the selected bulbs are rated 75-W? (b) What is the probability that all three of the selected bulbs have the same rating? (c) What is the probability that one bulb of each type is selected? (d) Suppose now that...
a A box in a certain supply room contains seven 40-watt light bulbs, five 60-watt bulbs,...
a A box in a certain supply room contains seven 40-watt light bulbs, five 60-watt bulbs, and six 75-watt bulbs. Suppose that three bulbs are randomly selected. a. What is the probability that exactly two of the selected bulbs are rated 75-watt? b. What is the probability that all three of the selected bulbs have the same rating? c. What is the probability that one bulb of each type is selected? d. What is the probability that at least two...
A box in a certain supply room contains four 30W lightbulbs, five 60W lightbulbs, and six...
A box in a certain supply room contains four 30W lightbulbs, five 60W lightbulbs, and six 70W lightbulbs. Suppose that four lightbulbs are randomly selected. 1) What is the probability that at least one lightbulb of each type is selected? 2)Find the expected number of lightbulbs (incorrect ones) that need to be selected before a 60W or 70W lightbulb is selected. Show this by building a probability table.
A box contains six 25-watt light bulbs, nine 60-watt light bulbs, and five 100-watt light bulbs....
A box contains six 25-watt light bulbs, nine 60-watt light bulbs, and five 100-watt light bulbs. What is the probability a randomly selected a 60 watt light bulb? (PLease explain how did you get your answer)(2 pt) Note: You must provide your answer as a fraction NOT decimal) Cell Phone Provider Probability AT&T 0.271 Sprint 0.236 T–Mobile 0.111 Verizon 0.263 Does the above table represent the probability model? Explain your answer. (2 pt) The data shows the distance that employees...
A box in a supply room contains 19 compact fluorescent lightbulbs, of which 7 are rated...
A box in a supply room contains 19 compact fluorescent lightbulbs, of which 7 are rated 13-watt, 8 are rated 18-watt, and 4 are rated 23-watt. Suppose that three of these bulbs are randomly selected. (Round your answers to three decimal places.) (a) What is the probability that exactly two of the selected bulbs are rated 23-watt? (b) What is the probability that all three of the bulbs have the same rating? (c) What is the probability that one bulb...
A box in a supply room contains 15 compat fluorscent lightbulbs, of wich 5 are rated...
A box in a supply room contains 15 compat fluorscent lightbulbs, of wich 5 are rated 13 watt, 6 are rated 18 watt, and 4 are rated 23 watt. Suppose that three bulbs are randomly slected. a- What is the probablity that exactly two of the slected bullbs are rated 23 watt? b- What is the probablity that all of the three slected bulbs have the same rating? c- What is the probablity that one of each type is slected...
A box contains three 40 Watt bulbs, eight 60 Watt bulbs, and nine 100 Watt bulbs....
A box contains three 40 Watt bulbs, eight 60 Watt bulbs, and nine 100 Watt bulbs. If you drew a sample of three bulbs without replacement what is the probability within that sample that there are more 60 Watt bulbs than 40 Watt bulbs?
A box contains 100 Christmas light bulbs -- 40 green, 35 red and 25 blue. You...
A box contains 100 Christmas light bulbs -- 40 green, 35 red and 25 blue. You randomly select two bulbs from the box with replacement. The outcome of interest is the colour of each of the two selected light bulbs. (a) List the complete sample space of outcomes. (1 mark) (b) What is the probability that the two selected bulbs are the same colour? (1 mark) (c) What is the probability that the first selected bulb is green or that...
1).A box contains 20 balls. Five are blue, seven are red, and eight are black. Four...
1).A box contains 20 balls. Five are blue, seven are red, and eight are black. Four balls are selected at random and with replacement. Calculate the probability that fewer than two red balls are chosen. ANSWER: .5630 2. A company recently hired 50 employees. You are given: (a) Thirty employees are from Iowa; the remaining came from New York. (b) Of the employees who are from Iowa, 30% are males and the remaining are females. (c) Of the employees who...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT