Consider a t distribution with 8 degrees of freedom. Compute P(t is less than or equal to 1.53). Round answer to at least 3 decimal places. P(t is less than or equal to 1.53)= Consider a t distribution with 12 degrees of freedom. Find the value of c such that P(-c

Show Consider the following hypothetical situation. Grade data indicat4es that on the average 27% of the students in senior engineering classes have received A grades. From past data we have measured a standard deviation of 15%. We would like to model the proportion X of A grades with a beta distribution. a.  Please also provide the values of theparameters. b. Use the distribution in (a) to find the probability that more than 32% of the students had an A.

Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution.   The mean price of photo printers on a website is ​$242 with a standard deviation of ​$55. Random samples of size 35 are drawn from this population and the mean of each sample is determined.       The mean of the distribution of sample means is enter your response here. The standard deviation of the distribution of sample means is enter your response here. ​(Type an integer or decimal rounded to three decimal places as​ needed.) Sketch a graph of the sampling distribution. Choose the correct answer below.     A.           -3  0  3Mean price (in $) x         A bell shaped curve is over a horizontal x overbar axis labeled Mean price (in dollars) from negative 3 to 3 in increments of 1 and is centered on 0.   B.           239  242  245Mean price (in $) x         A bell shaped curve is over…

Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.   P(X>36)     Which of the following normal curves corresponds to P(X>36)​?     A.                 36 50         A normal curve has a horizontal axis with two labeled coordinates, 36 and 50. The curve's peak is near the top of the graph at horizontal coordinate 50. Two vertical line segments run from the horizontal axis to the curve at horizontal coordinates 36 and 50. The area under the curve between the vertical line segments is shaded.   B.                 36 50         A normal curve has a horizontal axis with two labeled coordinates, 36 and 50. The curve's peak is near the top of the graph at horizontal coordinate 50. Two vertical line segments run from the horizontal axis to the curve at horizontal coordinates 36 and 50. The area…