# Mathematics assignment help

Find the value of z for which the area of the shaded region under the standard normal curve is as specified. The area is 0.0026. z =

2. –/1 pointsGoldFM10 7.6.009.

Find the value of z for which the area of the shaded region under the standard normal curve is as specified. The area is 0.0013. z =

3. –/1 pointsGoldFM10 7.6.011.

Find the value of z for which the area of the shaded region under the standard normal curve is as specified. The area is 0.383. z =

9A (Homework)

Peter Rubenstein MAT 183, section 100, Spring 2016 Instructor: Vincent Fatica

WebAssign

4. –/1 pointsGoldFM10 7.6.012.

Find the value of z for which the area of the shaded region under the standard normal curve is as specified. The area is 0.6915. z =

5. –/1 pointsGoldFM10 7.6.024.

Find the area of the shaded region under the given normal curve.

6. –/1 pointsGoldFM10 7.6.025.

Find the area of the shaded region under the given normal curve.

7. –/1 pointsGoldFM10 7.6.026.

Find the area of the shaded region under the given normal curve.

8. –/1 pointsGoldFM10 7.6.033.

Bolts produced by a machine are acceptable provided that their length is within the range from 5.94 to

6.06 centimeters. Suppose that the lengths of the bolts produced are normally distributed with µ = 6 centimeters and σ = 0.03. What is the probability that a bolt will be of an acceptable length?

9. –/1 pointsGoldFM10 7.6.035.

The amount of gas sold weekly by a certain gas station is normally distributed with µ = 25,000 gallons and σ = 4000. If the station has 34,000 gallons on hand at the beginning of the week, what is the probability of its running out of gas before the end of the week?

10.–/1 pointsGoldFM10 7.6.036.

Suppose that the lifetimes of a certain light bulb are normally distributed with µ = 1000 hours and σ = 250. Find the probability that a light bulb will burn out in less than 700 hours. (Round your answer to four decimal places.)

11.–/3 pointsGoldFM10 7.6.037.

Assume that SAT verbal scores for a first-year class at a university are normally distributed with mean 570 and standard deviation 65.

(a) The top 10% of the students are placed into the honors program for English. What is the lowest score for admittance into the honors program?

(b) What is the range of the middle 90% of the SAT verbal scores at this university? between and

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