Every day a company makes 100 phone calls. Each call has a 40% chance of being answered. Calls are answered or not independently of each other. Every time a call is answered a sale is made in the amount X that is a random variable having a normal distribution with μ= 50 and σ= 5. Let Y be the number of answered calls during a day and let W be the total amount of daily sales. Assume that sales amounts are independent of each other and from the number of sales Y. i) Identify the distribution of Y, its mean, and its variance. ii) Find EW. iii) Find Var(W)
Every day a company makes 100 phone calls. Each call has a 40% chance of being...
Every day a company makes 100 phone calls. Each call has a 40% chance of being answered. Calls are answered or not independently of each other. Every time a call is answered a sale is made in the amount X that is a random variable having a normal distribution with μ= 50 and σ= 5. Let Y be the number of answered calls during a day and let W be the total amount of daily sales. Assume that sales amounts...
A large call center outside a city tracks the number of phone calls recieved each day. The daily number of phone calls recieved is normally distributed with μ = 152 μ = 152 and σ = 6.2 σ = 6.2 . Find the probability that on a randomly selected day the number of phone calls received is between 152 and 154. P(152 < X < 154) = Find the probability that a random sample of n = 25 n =...
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 56 and a standard deviation of 9. Using the empirical rule, what is the approximate percentage of daily phone calls numbering between 47 and 65?
in a mid-size company the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell shaped and has a mean of 39 and a standars deviation of 10. using the epirical rule what is the approximate percentage of daily phone calls numbering between 19 and 59?
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 53 and a standard deviation of 11. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 31 and 75? Can you explain this for me too please
A salesperson for a national clothing company makes 2 calls to potential customers every day. Based on historical records, the following probability distribution describes the number of successful calls each day: Number of Successful Calls Probability 0.10 0.60 0.30 2 Each successful call earns the salesperson $100. Based on the information provided, what are the daily expected earnings for the sales rep? O $90 $100 $120 None of the above
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 43 and a standard deviation of 7. Using the empirical (68-95-99.7) rule, what is the approximate percentage of daily phone calls numbering between 29 and 57. Enter your answer as a percent, but do not enter the percent symbol. do not enter in decimal form( for example, enter 93.8 for 93.8% not...
A telemarketer, who places random phone calls to potential customers, has a .05 probability of making a sale with every phone call, independently of other phone calls. What is the expected number of calls needed to make the first sale of a day? What is the probability that more than 10 calls will be needed to make the first sale of the day?
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 47 and a standard deviation of 8. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 23 and 71?Please explain the answer broken down in detail
Expand Daniel was recently hired at an electronics call center that receives thousands of incoming calls each day. Assume that the number of daily incoming phone calls is very nearly normally distributed with an unknown mean pu and an unknown standard deviation ơ. Daniel examines the call logs from a simple random sample of n days. He records the total number of calls on each of these days and calculates the mean number of calls per day, I, for the...