10. A certain strain of bacteria occurs in all raw milk. Tests of uncontaminated raw milk conducted by the Health Department found that the bacteria count per milliliter is normally distributed with a mean of 3500 and standard deviation of 300. a) What is the probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk? b) What percentage of the uncontaminated raw milk has a bacteria count per milliliter between 3200 and 3400? c) For this normal distribution, what is the percentage of the area under the normal curve for a bacteria count per milliliter less than zero? As bacteria count cannot be less than 0, is this small enough to disregard when claiming that the bacteria count per milliliter is normally distributed? Explain your answer.

a) 0.21078

b) 21.078%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean of 3500 and standard deviation of 300.

a) What is the probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk?

For x = 3200

z = 3200 - 3500/300

z = -1

Probability value from Z-Table:

P(x = 3200) = 0.15866

For x = 3400

z = 3400 - 3500/300

z = -0.33333

Probability value from Z-Table:

P(x = 3400) = 0.36944

The probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk

P(x = 3400) - P(x = 3200)

= 0.36944 - 0.15866

= 0.21078

b) What percentage of the uncontaminated raw milk has a bacteria count per milliliter between 3200 and 3400?

We convert the answer in part a) to percentage

= 0.21078 × 100

= 21.078%

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

slope is 35 and 20 miles is the y-intercept.

step-by-step explanation: