Find the rate parameter. b. Graph the probability density function. c. How likely is it that a cellphone will fail in 4 years
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- the following table shows the average number of colds per year for a certain group of people by age group. calculate the average number of colds for all the people to the nearest one-hundreth.A light fixture contains five lightbulbs. The lifetime of each bulb is exponentially distributed with mean 199.0 hours. Whenever a bulb burns out, it is replaced. Let T be the time of the first bulb replacement. Let X1, i = 1, . . . , 5, be the lifetimes of the five bulbs. Assume the lifetimes of the bulbs are independent. 1. Find P( X1 > 100). (Round the final answer to four decimal places.) 2. Find P( X1 > 100 and X2 > 100 and • • • and X5 > 100). (Round the final answer to four decimal places.) 3. Find P(T ≤ 100). (Round the final answer to four decimal places.) 4. Let t be any positive number. Find P(T ≤ t), which is the cumulative distribution function of T. 5. Find the mean of T. (Round the final answer to two decimal places.)... 11:32 PM Tue Jan 19 * 48% AA A etext-ise.pearson.com PB Introduction - Orego... E еТеxt P Course Home - Diam... Pearson eText PRACTICE Find three numbers such that the second number is 8 less than triple the first number, the third number is five times the first number, and the sum of the three numbers is 118.
- Previously, De Anza's statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 daytime statistics students. Find the probability that an individual had between $0.80 and $1.00. Graph the situation, and shade in the area to be determined.In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 18 seconds. *Please show formulas in EXCEL format a. What is λ? 2 per min b. What is μ? 18 seconds c. Find probability of no units in the system. d. Find average number of units in the system. e. Find average time in the waiting line. f. Find average time in the system. g. Find probability that there is one person waiting. h. Find probability an arrival will have to wait.Question 2. Given the probability density function p(1)=0.47 -2.94 and domain 7.6, 9.6, find the standard deviation, o,. Enter your answer to four decimal places in the box below:
- 4. As fallen trees lie on the forest floor they slowly decay. Will the amount of light present have an impact on the rate of decay? In the following table x is a random variable representing the remaining percentage of total mass of a log after it was exposed to the elements for three weeks while y represents the numbers of hours of direct sunlight the log received each day. X 0.60 .70 .65 .82 .87 y 1.0 2.3 3.0 4.0 4.5 (a) Plot a scatter diagram of the data. Remember to label your axes appropriately and choose a consistent scale. (b) Based on a scatter diagram, would you estimate the correlation coefficient to be positive, close to zero, or negative? Please circle one of the following choices: A. Positive B. Close to zero C. Negative (c) Interpret your results from parts (a) and (b). 16 tvIn a certain year, the percent of persons (ages five and older) in each state who speak a language at home other than English was approximately exponentially distributed with a mean of 9.352. Suppose we randomly pick a state. Find the probability that the percent is less than 11. (Round your answer to four decimal places.)Find the mean and standard deviation for each uniform continuous model.(Round "Mean" answers to 1 decimal place and "Standard deviation" answers to 4 decimal places. a. U(3, 13) b. U(90, 190) c. U(3, 99)
- Suppose a system is made up of two components that function independently. The components are connected in parallel. One of the components lifetime in days can be expressed by an exponential distribution with A = 0.1. The second component has a lifetime that can be expressed as a lognormal distribution with u = 2.3 and o = 0.1. What is the reliability of the system at 11 days? .5579 .9454 .4421 .0545Assume x is exponentially distributed with a mean of 4. Find: a.P(X=2) b.P(X<2) c.P(X>=2) d.P(2 < X < 4)
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