The lifetime of a lightbulb can be modeled with an exponential random variable with an expected lifetime of 700 days. (a) Find the probability that the lightbulb will function for more than 1400 days. (b) Find the probability that the lightbulb will function for more than 1400 days, given that it is still functional after 500 days.
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The lifetime of a lightbulb can be modeled with an exponential random variable with
an expected lifetime of 700 days.
Please help with parts a and b:
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- T-Mobile Wi-Fi ? I 9:38 AM • 47% Done 8 of 14 G O FOU O FOU FOU XM FOU FDU FOU tudent.desmos.com/activitybuilder/student/607fa00008264d0cbd771b34#screenldx=4 se Connec Clara Destiny sho. O Employment Center + Login Session Expiration.. b Selling Associate- Sign in P View Portrait Proo IV Assessment Question 3 Select all the properties that must be true of a normal distribution. (Select al that apply) O The distribution is bell shaped. O The distribution has a height of zero when it is more than 3 standard deviations away from the center. O The distribution is c ntered at the mean absolute deviation. O The area under the normal distribution curve and within 2 standard deviations of the center is about 95% of the total area under the curve. O The distribution iş determined by the mean and standard deviation. O The total area under a normal distribution curve is 1 DII DD F3 F4 Fn F11 %23 $ & 3 4 6. 7 08. W R Y U { H J K C V !! .. .. * 00The owner of a small firm has just purchased a personal computer, which she expects will serve her for the next two years The owner has been told that she "must" buy a surge suppressor to provide protection for her new hardware against possible surges or variations in the electrical current, which have the capacity to damage the computer The amount of damage to the computer depends on the strength of the surge. It has been estimated that there is a 1% chance of incurring 350 dollar damage, 4% chance of incurring 200 dollar damage, and 10% chance of incurring 125 dollar damage from a surge within the next two years. An inexpensive suppressor, which would provide protection for only one surge, can be purchased. How much should the owner be willing to pay if she makes decisions on the basis of expected value? Expected value = Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining.A researcher found that the two groups (n=25 in each group) they tested were significantly different from each other with a t-value of 2.91, which has a corresponding p-value of p=.06. For this study, report the statistics in APA format.
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- A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 15 of them were given multivitamin tablets formulated to fight cold symptoms. The remaining 15 volunteers were given placebo tablets. For each individual, the length of time taken to recover from the cold is recorded. At the end of the experiment the following data are obtained. Days to recover from a cold Treated with multivitamin Treated with placebo 3.0, 5.6, 1.5, 6.8, 3.8, 7.5, 5.8, 4.6, 2.4, 5.0, 7.5, 5.0, 2.6, 1.7, 6.7 4.9, 6.1, 4.9, 4.2, 3.4, 5.5, 5.6, 3.4, 7.9, 6.8, 4.8, 4.2, 5.7, 2.2, 4.0 Send data to Excel Send data to calculator It is known that the population standard deviation of recovery time from a cold is 1.8 days when treated with multivitamin tablets, and the population standard deviation of recovery time from a cold is 1.5 days when treated with placebo tablets. It is also known that both populations are approximately normally…please answer both parts!A psychologist believes that the age of an adolescent will have an impact on the number of phone calls made to the opposite sex (in heterosexual people) over the course of one month. They also suspect that gender of the adolescent will have an impact on the number of phone calls made to the opposite sex. Using the hypothetical data provided below, run your analyses in R to test whether age and gender impacts the number of phone calls an adolescent makes. Gender (Binary) Girl Boy Age Young Adolescents (11-14) 7, 2, 3, 5, 3 1, 2, 3, 2, 1 Older Adolescents (15-18) 15, 26, 19, 21, 18 10, 8, 5, 16, 9 ( What kind of statistical analysis do you need to use and why? State the null and alternative hypotheses. Check your assumptions. Include screenshots of your R output and explain why each of them are or are not met. Using R, run your analysis and include a screenshot. Using R, run post-hoc tests and include a screenshot. What do you…