Cincinnati Paint Company sells quality brands of paints through tool shops all through the United States. The organization keeps a huge deals power who approach existing clients and search for new business. The public team lead is researching the connection between the quantity of deals calls made and the miles driven by the salesperson. Likewise, do the salesmen who travel the most miles and settle on the most decisions essentially acquire the most in deals commissions? To examine, the VP of deals chosen an example of 25 agents and decided:

The sum procured in commissions a month ago (y)

The quantity of miles driven a month ago (x1)

The quantity of deals calls made a month ago (x2)

The data is accounted for underneath.

Commissions ($000) Calls Driven Commissions ($000) Calls Driven

22 140 2,372 38 146 3,291

13 132 2,227 44 145 3,104

33 145 2,732 29 147 2,122

38 146 3,351 38 144 2,792

23 142 2,289 37 149 3,210

47 143 3,450 14 132 2,288

29 138 3,114 34 144 2,848

38 146 3,342 25 132 2,691

41 145 2,843 27 132 2,934

32 134 2,626 25 128 2,672

20 136 2,121 43 154 2,989

13 137 2,220 34 147 2,829

47 146 3,464

Snap here for the Excel Data File

Build up a relapse condition including a collaboration term. (Negative sum ought to be demonstrated by a short sign. Round your responses to 3 decimal spots.)

Complete the accompanying table. (Negative sums ought to be demonstrated by a short sign. Round your responses to 3 decimal spots.)

Process the estimation of the test measurement comparing to the collaboration term. (Negative sum ought to be shown by a less sign. Round your response to 2 decimal spots.)

At the 0.05 importance level is there a critical communication between the quantity of deals calls and the miles driven?

Think about the accompanying situation.

@11@

the twelve-number bet

(a) Find the normal estimation of each $1 bet in roulette. (Round your response to three decimal spots.)

dollars

(b) Interpret it. (Round your response to one decimal spot.)

Over the long haul, you ought to hope to lose about pennies for each dollar you bet.

To decide the impact their sales reps have on buys, a retail chain surveyed 700 customers in regards to whether they made a buy and whether they were satisfied with the assistance they got. Of the individuals who made a buy, 141 were content with the assistance and 123 were definitely not. Of the individuals who made no buy, 211 were content with the assistance and 225 were definitely not. Use likelihood rules (when proper) to discover the likelihood of the occasion expressed. (Enter your answers as parts.)

(a) A customer was content with the assistance got.

(b) A customer was discontent with the assistance got.

Let X be an exponential random variable with parameter A. (a) Apply the Markov inequality to bound Pr[X 2 2/A]. (b) Use the Chebyshev inequality to compute the bound. (0) Use the one-sided Chebyshev inequality to compute the bound. (d) Compute the actual probability of this event. (2) Let N : [0, oo) - Z be (the counting function associated to) a Poisson process of intensity A and fix o E (0, co). Show that t - N(at) is a Poisson process and determine its intensity. Hint: Remember that a Poisson process is the unique process with its marginal distributions.Show that the superposition of m independent Poisson processes with rates 21 , ..., 2, results in a Poisson process with rate ) = 2 + ... + Am. Hint: Use the three defining properties of a Poisson counting process