using 'standard Normal Table ' , calculate the following probabilities. 1. Pr(z < -1.12) 2. Pr(z >2.32) 3.pr(1.22 < z >2.53) 4.pr(-3.22 < z < 0.22) 5.pr(-2.36 < z < -0.50)
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using 'standard Normal Table ' , calculate the following probabilities.
1. Pr(z < -1.12)
2. Pr(z >2.32)
3.pr(1.22 < z >2.53)
4.pr(-3.22 < z < 0.22)
5.pr(-2.36 < z < -0.50)
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- The probability distribution for the number of automobiles sold during a day (x) at Bob Iron Motors is as follows. x f(x) 0 0.001 1 0.007 2 0.034 3 0.099 4 0.188 5 6 0.220 7 0.136 8 0.055 9 0.015 10 0.001 21 The expected value of the number of automobiles sold is, a 5.20 b 5.31 c 5.42 d 5.53Players would draw a card from a standard 52 card deck. Whatever card they drew determined what they won. If they draw a face card (Jack, King, Queen) then they win $5. If they draw an Ace, they win $15. For all other cards, they win nothing. A. Fill out the probability distribution table with the probabilities of each possible outcome for this game. Round decimals to four places. x $15 $5 $0 P(x) B. What is the expected value of the distribution above? (Round to the nearest cent, two decimal places.) C. If players were charged $2 per game, would they make and average profit on the games over time, or would they take an average loss over time? D. If players were charged $3 per game, would they make and average profit on the games over time, or would they take an average loss over time?The probability distribution for damage claims paid by the Newton Automobile Insurance Company on collision insurance is shown as follows: there is a 62% chance there won't be a claim ($0), a 11% chance of a $1000 claim, a 8% chance of a $2700 claim, and otherwise, the claim will be $9000. What is the expected value of an insurance claim for this company? (please express your answer using 2 decimal places).
- the following probability distribution represents the number of people living in a household (x), and the probability of occurrence (p(x). compute the expected value (mean), the variance, and standard deviation for the random variable. calculations for the mean.x 1 2 3 4 5p(x) .33 .29 .27 .07 .04A car salesperson estimates the following probabilities for the number of cars that she will sell in the next week: Number of cars 0 1 2 3 4 5 Probability 0.10 0.20 0.35 0.16 0.12 0.07 a. Find the expected number of cars that will be sold in the week.b. Find the standard deviation of the number of cars hat will be sold in the week. c. The salesperson receives a salary of $250 for the week, plus an additional $300 for each car sold. Find the mean and standard deviation of her total salary for the week. d. What is the probability that the salesperson’s salary for the week will be more than $1,000?The probability distribution for the number of automobiles sold during a day (x) at Bob Iron Motors is as follows. x f(x) 0 0.001 1 0.007 2 0.034 3 0.099 4 0.188 5 6 0.220 7 0.136 8 0.055 9 0.015 10 0.001 24 Suppose the gross profit per vehicle sold is $1,820 . The standard deviation of gross profit is, a $3,105.50 b $3,029.76 c $2,955.86 d $2,883.77
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- 15 Demand for residential electricity at a certain time period in Hamilton County is normally distributed with a mean of μ = 5595 megawatts (MW) and a standard deviation of σ = 405 MW Due to scheduled maintenance and unexpected system failures in a generating station, the utility company can supply a maximum of x = 6200 MW The probability that the utility will have to purchase electricity from other utilities or allow brownouts is ______. 0.0974 0.0811 0.0676 0.0563Bob is working on two separate probabilityrelated projects. The first involves the variable N, which is the number of consecutively filled bottles of an anticancer drug that weigh in above the weight specification limit. The variable N is described by the formula (0.5)N because each unit has a 50-50 chance of being below or above the limit. The second involves the battery life L, which varies between 2 and 5 months. The probability distribution is triangular with the mode at 5 months, which is the design life. Some batteries fail early, but 2 months is the smallest life experienced thus far. (a) Write out and plot the probability distributions and cumulative distributions for N and L for Bob. (b) Determine P(N = 1, 2, or 3) consecutive units above the weight limitA company invests on selling computer units worth Php 32,000.00. The probability of maintaining this price throughout the year is 65% while that of less or more than 10% expected are 15% and 20%, (a) what is the probability that the selling price for that year is more than the expected price?