A bakery uses a particular ingredient at an average rate of 6 per week. Find the...
A bakery uses a particular ingredient at an average rate of 6 per week. Find the probability that:
i. at least 6 are used in a particular week.
ii. exactly 18 are used in a 3-week period.
iii. exactly 6 are used in each of 3 successive weeks.
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A bakery uses a particular ingredient at an average rate of 6
per week. Find the...
Please show all work and steps! Each employee at an upscale bakery has a particular set...
Please show all work and steps!
Each employee at an upscale bakery has a particular set of skills that can be applied to each cake that is ordered. There is one particular technique that can only be done by 1 baker, who is going to be on vacation for the next 2 weeks. Cakes requiring this decorating technique are ordered with the following probability each week: 1. Number of Cakes Requiring Special Techniques 02 3 Probability If a cake requiring...
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4. Workers in a factory incur accidents at a mean rate of 2 accidents per week. ICA a) What is the probability that there are (i) at most 2 accidents in a given week? (ii) at least 4 accidents in a given week? b) Out of 5 weeks, what is the probability that at most 2 of the weeks will have at least 4 accidents? [15 marks]
Please show all work and steps! Each employee at an upscale bakery has a particular set...
Please show all work and steps!
Each employee at an upscale bakery has a particular set of skills that can be applied to each cake that is ordered. There is one particular t baker, who is going to be on vacation for the next 2 weeks. Cakes requiring this decorating technique are ordered with the following probability each week 1. that can only be done by1 Number of Cakes Requiring Special Techniques01 23 Probability 0.6 0.2 0.15 0.05 If a...
At a local bakery, on average, 12 customers come in per hour. Using the exponential distribution,...
At a local bakery, on average, 12 customers come in per hour. Using the exponential distribution, find the probability that the intervals between successive arrivals will be more than 15 minutes.
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On average, 5.6 shoplifting incidents occur per week at an electronics store. Find the probability that exactly 3 such incidents will occur during a given week at this store. Round your answer to four decimal places. P (exactly 3) = ???
4. At a local hospital, babies are born at an average rate of four births per...
4. At a local hospital, babies are born at an average rate of four births per night (consider "night" to be an 8 hour period from 10pm to 6am). Assume that the time that elapsed from one birth to the next has the exponential distribution. Take note that we are concerned only with the rate at which babies are born, and we are ignoring the time spent in labor. We must also assume that the times spent between births are...
B5. (a) A factory makes 5 trucks per day, seven days per week. Each truck has probability 0.1 of ...
B5. (a) A factory makes 5 trucks per day, seven days per week. Each truck has probability 0.1 of being faulty, independently of any other trucks i) What is the probability that exactly two of the trucks made in one week are faulty? ii) What is the expected number of faulty trucks made per week? 5 marks (b) The workers at the factory are asked to keep making trucks until a faulty truck is made. Again each truck has probability...
An estate agent sells properties at a mean rate of 7 per week. 1 Suggest a...
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1. The number of breakdowns of a computer network follows a Poisson process with rate α...
1. The number of breakdowns of a computer network follows a Poisson process with rate α = 0.2 breakdowns per week. This means the number of breakdowns during a period of t weeks is a Poisson random variable with parameter λ = 0.2t. (a) What is the probability that exactly 3 breakdowns are to occur during a 10-week period? (b) What is the probability that at least 2 breakdowns are to occur in next 10 weeks? (c) How many breakdowns...
Calls received by a car rescue service occur independently and at a constant average rate of...
Calls received by a car rescue service occur independently and at a constant average rate of 3 per minute. a. Find the probability that, in a randomly chosen period of 1 minute, the number of calls received by the service is (I) none (II) at least3 (IIID between 2 and 5 (inclusive) b. Find the probability that, in a randomly chosen period of 4 minute, the number of calls received by the service is exactly 14. Find the probability that,...
Please show all work and steps!
Each employee at an upscale bakery has a particular set of skills that can be applied to each cake that is ordered. There is one particular technique that can only be done by 1 baker, who is going to be on vacation for the next 2 weeks. Cakes requiring this decorating technique are ordered with the following probability each week: 1. Number of Cakes Requiring Special Techniques 02 3 Probability If a cake requiring...
4. Workers in a factory incur accidents at a mean rate of 2 accidents per week. ICA a) What is the probability that there are (i) at most 2 accidents in a given week? (ii) at least 4 accidents in a given week? b) Out of 5 weeks, what is the probability that at most 2 of the weeks will have at least 4 accidents? [15 marks]
Please show all work and steps!
Each employee at an upscale bakery has a particular set of skills that can be applied to each cake that is ordered. There is one particular t baker, who is going to be on vacation for the next 2 weeks. Cakes requiring this decorating technique are ordered with the following probability each week 1. that can only be done by1 Number of Cakes Requiring Special Techniques01 23 Probability 0.6 0.2 0.15 0.05 If a...
4. At a local hospital, babies are born at an average rate of four births per night (consider "night" to be an 8 hour period from 10pm to 6am). Assume that the time that elapsed from one birth to the next has the exponential distribution. Take note that we are concerned only with the rate at which babies are born, and we are ignoring the time spent in labor. We must also assume that the times spent between births are...
B5. (a) A factory makes 5 trucks per day, seven days per week. Each truck has probability 0.1 of being faulty, independently of any other trucks i) What is the probability that exactly two of the trucks made in one week are faulty? ii) What is the expected number of faulty trucks made per week? 5 marks (b) The workers at the factory are asked to keep making trucks until a faulty truck is made. Again each truck has probability...
Calls received by a car rescue service occur independently and at a constant average rate of 3 per minute. a. Find the probability that, in a randomly chosen period of 1 minute, the number of calls received by the service is (I) none (II) at least3 (IIID between 2 and 5 (inclusive) b. Find the probability that, in a randomly chosen period of 4 minute, the number of calls received by the service is exactly 14. Find the probability that,...
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