Have you ever tried to get out of jury duty? About 25% of those called will find an excuse (work, poor health, travel out of town, etc.) to avoid jury duty†. If 15 people are called for jury duty, find the following. a) What is the probability that all 15 will be available to serve on the jury? (Round your answer to three decimal places.)(b) What is the probability that 9 or more will not be available to serve on the jury? (Round your answer to three decimal places.)(c) Find the expected number of those available to serve on the jury. What is the standard deviation? (Round your answers to two decimal places.)μ =σ =(d) How many people n must the jury commissioner contact to be 95.9% sure of finding at least 12 people who are available to serve? (Enter your answer as a whole number.)

Step-by-step explanation:

a) About 25% of those called will find an excuse (work, poor health, travel out of town, etc. to avoid jury duty. So, the probability that a jury will be available to serve is ; P = 1 - q = 1 - 0.25 = 0.75

Given n = 15 and  p = 0.75

P(X = 15) = Binompdf(15, 0.75, 15) = 0.013

b) Event "9 or more will not be available to serve on the jury" is equivalent to "6 or less will be available to serve".

P(X ≤ 6) = Binompdf(15, 0.75, 6) = 0.004

c) The expected number and the standard deviation of those available to serve on the jury are: μ = np = 15(0.75) = 11.25

σ = √np(1 - p) = √15(0.75)(1 - 0.75) = 1.68

d) Use function:

P(X ≥ 12) = 1 - P(X ≤ 11) = 1 - Binompdf(n, 0.75, 11)

By using above function, the probabilities of P(X ≥ 12) at different sample size are shown below:

nP(X ≥ 12)

120.032

130.127

140.281

150.461

160.630

170.765

180.861

190.923

200.959

210.979

Therefore, The jury commissioner must contact at least 20 people to be 95.9% sure of finding at least 12 people who are available to serve.

answer

false

explanation

these practices describe the manner the land use outcome is attained. land management methods implemented by corporations are a mandatory because they are a driver for better land use results economically, socially and environmentally. corporations are required to understand the connection between land use , and land management practices to support sustainable land use policies

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: