Rxx(t,t + t) = sin (6t + t)e-t

(Sec. 3.2) A student is required to enroll in one, two, three, four, five, six on the desired courseload) at a local university. Let Y the number of classes the next student enrolls themselves in. The probability that y classes are selected is known to be proportional to y+1, in other words the pmf of Y is given by p(y) = k(y+1) for y 1,...,7, and 0 otherwise (a) What is the value of k? or seven classes (depending (b) What is the probability that at most four classes are enrolled in? (c) What is the probability that a student enrolls in between three and five classes (inclusive)? y? /40 for y 1,.,7 be the pmf of Y? Explain why why not (d) Could p(y) or

Amedical researcher says that less than 79% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 75% think that healthy children should be required to be vaccinated. At a= 0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below SE (a) Identify the claim and state H, and H,. ome Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) ents O A. Less than % of adults in the country think that healthy children should be required to be vaccinated. ok O B. More than % of adults in the country think that healthy children should be required to be vaccinated. Contents C. %% of adults in the country think that healthy children should be required to be vaccinated. O D. The percentage of adults in the country who think that healthy children should be…

2. An experiment was conducted to explore the effects of fatigue on the performance of a simple manual task. A random sample of 15 male, college students was obtained. We will assume that this sample forms a random sample from all of the male, college students that were available to the investigators. These students were trained to make a continuous horizontal right-to-left arm movement from a microswitch to a barrier, so that the barrier was knocked over at exactly the same time as the clock sweep second hand arrived at the 6 o'clock position. The absolute value of the difference between the time, in milliseconds, that it took to knock over the barrier and the time for the sweep second hand to reach the 6 o'clock position was recorded. Note that the student's goal is to make this time difference as close to zero as possible. Each participant performed the task five times under rested conditions (the student was not fatigued) and fatigued conditions (the student was fatigued). The sums…