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ad-work [718]
3 years ago
5

Let x denote the IQ for an individual selected at random from a certain population. The value of x must be a whole number. Suppo

se that the distribution of x can be approximated by a normal distribution with mean value 95 and standard deviation 15. Approximate the probabilities below. (Round all answers to four decimal places.)(a) P(x = 95) =Incorrect: Your answer is incorrect.(b) P(x ? 105) =(c) P(x < 105) = (Hint: x < 105 is the same as x ? 104.)(d) P(75 ? x ? 115) =
Mathematics
1 answer:
Ksivusya [100]3 years ago
6 0

Answer:

a)0.0266

b)0.2742

c)0.7257

d)0.6668

Step-by-step explanation:

If x is normally distributed with mean value of 95 and standard deviation of 15. We can approximate

a) the mass probability:

P(x = 95) = 0.0266

b)P(x \geq 105) = 1 - P(x < 105) = 1 - P(x \leq 104) = 1 - 0.7257 = 0.2742

c)P(x < 105) = P(x \leq 104) = 0.7257

d)P(75 \leq x \leq 105) = P(x \leq 105) - P(74 \leq x) = 0.7475 - 0.0807 = 0.6668

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Step-by-step explanation:

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2) Next, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the m, x_1 and y_1 into the formula.

Since m represents the slope, substitute -\frac{2}{5}  in its place. Since x_1 and y_1 represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:

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What is the sum of the given values to the correct level of precision? 7.45 ft + 10.629 ft +0.3 ft

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