(a) Consider a t distribution with 30 degrees of freedom. Compute P(-1.46
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- In the daily production of a certain kind of rope, the number of defects per foot given by Y is assumed to have a Poisson distribution with mean ? = 4. The profit per foot when the rope is sold is given by X, where X = 70 − 3Y − Y2. Find the expected profit per foot.(a) Consider a t distribution with 29 degrees of freedom. ComputeP (-1.23 < t <1.23). Round your answer to at least three decimal places. P(-1.23 < t <1.23) = (b) Consider a t distribution with 18 degrees of freedom. Find the value of c suchthat P( t ≤ c) = 0.01. Round your answer to at least three decimal places. c=A) consider a t distribution with 3 degrees of freedom. Compute P(-1.62 < t < 1.62). Round your answer to at least three decimal places. P(-1.62 < t < 1.62)= ? B) Consider a t distribution with 9 degrees of freedom. Find the value of c such that P(t > c)= 0.10. Round your answer to at least three decimal places. C=?
- For a t-distribution with 16 degrees of freedom, find the area, or probability, in each region. Hint: Always keep in mind that unlike the standard normal z-table, for the t-table the probabilities are in the first row, while the values of the statistic are in the "middle" of the table. To the right of t=2.120 To the left of t=1.337 To the left of t=-1.746 Between t=-2.120 and t=2.120 Between t=-1.746 and t=1.746#2a. Consider a t distribution with 10 degrees of freedom. Compute P(t < -1.74). Round your answer to at least three decimal places. **The less than sign is suppose to be less than or equal to sign** P(t < -1.74) =On a typical Saturday night at a local bar in San Diego, about 62% of people order a drink that has tequila. We randomly select 250 people who go to this local bar. c) Fill in the blanks for the sampling distribution for the 250 people sampled, where X=number of people who order a drink that has tequila: X~AN(___________, _____________) d) Use the normal approximation to the binomial to find the probability that 163 and less people ordered a drink that has tequila. Round to 4 decimal places. e) Fill in the blanks for the sampling distribution of the sample proportion of the 250 people sampled. Round to three decimal places ?̂ p ^ ~AN(___________,
- Consider a t distribution with 29 degrees of freedom. Compute P(-1.30<t<1.30). Round your answer to at least three decimal places. P(-1.30<t<1.30)= (b) Consider a t distribution with 15 degrees of freedom. Find the value of c such that P(t≥c)=0.01. Round your answer to at least three decimal places. c=Assume that interest rate is 0.02, growth rate of the Geometric Brownian Motion of the stock price is 0.03, and its volatility is 0.1. The current stock price is $100. If one independent sample from a standard normal distribution is 0.6, simulate the stock prices at t = 0.05 using the Euler-Maruyama scheme under the risk-neutral probability measure.(a)Consider a t distribution with 17 degrees of freedom. Compute P (-1.48 < t < 1.48) . Round your answer to at least three decimal places. P (-1.48 < t < 1.48) = (b)Consider a t distribution with 2 degrees of freedom. Find the value of c such that =P (t ≤ c) = 0.01 . Round your answer to at least three decimal places. c =
- If X follows a binomial distribution with p = 0.1 and n =100, find the approximate value of P(2 ≤ X ≤ 4) using the normal approximation. the Poisson approximation.A. Consider at distribution with 28 degrees of freedom. ComputeP(-1.85<1<1.85). Round your answer to at least three decimalplacesP(-1.85 <1<1.85) =1B. Consider a t distribution with 18 degrees of freedom. Find the value ofc such that P(+≤c) =0.10. Round your answer to at least three decimalplaces.C=I(a)Consider a t distribution with 29 degrees of freedom. Compute P(t ≥−1.63). Round your answer to at least three decimal places. P(t ≥ − 1.63) = (b)Consider a t distribution with 2degrees of freedom. Find the value of c such that P(−c<t<c) = 0.99. Round your answer to at least three decimal places. c =