Tomato as a taste modifier. miraculin—a protein naturally produced in a rare tropical fruit—has the potential to be an alternative low-calorie sweetener. in plant science (may 2010), a group of japanese environmental scientists inves- tigated the ability of a hybrid tomato plant to produce mi- raculin. for a particular generation of the tomato plant, the amount x of miraculin produced (measured in micrograms per gram of fresh weight) had a mean of 105.3 and a stan- dard deviation of 8.0. assume that x is normally distributed. a. find p1x 7 1202. 0331 b. find p1100 6 x 6 1102. 4677 c. find the value a for which p1x 6 a2

a) 0.033

b) 0.468

c) 100

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 105.3

Standard Deviation, σ = 8

The amount x of miraculin produced (measured in micro-grams per gram of fresh weight) had a normal distribution.

Formula:

a) P(x > 120)

Calculation the value from standard normal z table, we have,  

b) P(x between 100 and 110)

c) P(x < a) = 0.25

Calculation the value from standard normal z table, we have,  

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.