7. The amount spent by a customer on a Summer Cruise has a normal distribution with a mean of $95.60 and a standard deviation of $5. a) Calculate the probability that a randomly selected customer spends less than $95. b) The probability that customers spend more than x dollars is 0.2810. Find the value of r.
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- A car salesperson estimates the following probabilities for the number of cars that she will sell in the next week: Number of cars 0 1 2 3 4 5 Probability 0.10 0.20 0.35 0.16 0.12 0.07 a. Find the expected number of cars that will be sold in the week.b. Find the standard deviation of the number of cars hat will be sold in the week. c. The salesperson receives a salary of $250 for the week, plus an additional $300 for each car sold. Find the mean and standard deviation of her total salary for the week. d. What is the probability that the salesperson’s salary for the week will be more than $1,000?1. Suppose the prices of used cars in the market are normally distributed with a mean of $15,000 and a standard deviation of $7,5000. What is the probability of selecting a car from this market and its priced above $20,000.A set of average city temperatures in August are normally distributed with a mean of 21.25° C and a standard deviation of 2°C. What proportion of temperatures are between 19.63°C and 20.53°C? You may round your answer to four decimal places.
- A pizza delivery service delivers to a campus dormitory. Delivery times follow a normal distribution with a mean of 20 minutes and a standard deviation of 4 minutes.a. What is the probability that a delivery will take between 15 and 25 minutes?b. The service does not charge for the pizza if delivery takes more than 30 minutes. What is the probability of getting a free pizza from a single order?c. During final exams, a student plans to order pizza five consecutive evenings. Assume that these delivery times are independent of each other. What is the probability that the student will get at least one free pizza?d. Find the shortest range of times that includes 40% of all deliveries from this service.e. For a single delivery, state in which of the following ranges (expressed in minutes) the delivery time is most likely to lie.18-20, 19-21, 20-22, 21-23f. For a single delivery, state in which of the following ranges (expressed in minutes) the delivery time is least likely to lie.18-20,…a. A company produces lightbulbs whose life follows a normal distribution, with mean 1200 hours and standard deviation 250 hours. If we choose a lightbulb at random, what is the probability that its lifetime will be between 900 and 1300 hours? (answer in three decimal places)On average a supermarket sells 500 litres of milk a day with a standard deviation of 50 litres. If the supermarket has 600 litres in stock at the beginning of a day, what is the probability that it will run out of milk? What is the probability that demand is between 450 and 600 litres in a day? How many litres should the supermarket stock if it wants the probability of running out to be 0.05? 4. How many should it stock if it wants the probability of running out to be 0.01?
- The number of hits per day on the Web site of a tool company is normally distributed with a mean of 600 and a standard deviation of 120. a. What proportion of days have more than 750 hits? b. What proportion of days have between 660 and 750 hits? c. Find the number of hits such that only 10% of the days will have the number of hits below this number. Click the icon to view the standard normal table of the cumulative distribution function. ... a. The proportion of days with more than 750 hits is (Round to four decimal places as needed.) b. The proportion of days with between 660 and 750 hits is (Round to four decimal places as needed.) c. Only 10% of the days will have less than hits. (Round to one decimal place as needed.)3. A salesman who frequently drives from Muscat to Sohar finds that his driving time is a random variable having roughly a normal distribution with mean 4.3 hours and standard deviation 0.2 hour. Find the probabilities that such a trip will take a. more than 4.0 hours, b. less than 5.0 hours. C. Between 3.5 and 5.5 hoursThe graph shows the distribution of the lengths (in seconds) of videos on a popular video-streaming site. The distribution is approximately Normal, with a mean of 264 seconds and a standard deviation of 75 seconds. Streaming Videos -36 39 114 189 264 339 414 489 564 Length (Seconds) What percentage of videos on the streaming site are between 39 and 189 seconds? 0.15% 15.85% O 16% 34%
- Question 21 On the average, the amount of money that a customer spends in the store is $40 with a standard deviation $1O. The probability that the total spending of 4 customers in the store is over $170 is closest to 0.1543 0.3085 0.2376 O 0.4013 not able to calculateaaaaaa A soft drink machine outputs a mean of 27 ounces per cup. The machine's output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 21 and 30 ounces? Round your answer to four decimal places.Beer bottles are filled so that they contain an average of 330 ml of beer in each bottle. The amount of beer in a bottle is normally distributed with a standard deviation of 2.9 ml. 21 What is the probability that a randomly selected 6-pack of beer will have a mean amount in 6 bottles less than 328ml? a 0.0292 b 0.0365 c 0.0456 d 0.0570