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on a planet far away from Earth, the IQ of the decision species is typically disseminated with a mean of 114 and a standard deviation

on a planet far away from Earth, the IQ of the decision species is typically disseminated with a mean of 114 and a standard deviation of 14. Assume one individual is arbitrarily picked. Let X=IQ of a person.

A) discover the likelihood that an arbitrarily chosen individual's IQ is more than 104. Round your response to 4 decimal spots.

b) A school offers exceptional administrations for all youngsters in the base 4% for IQ scores. what is the most elevated IQ score a kid can have and still get unique administrations?. round your response to 2 decimal spots.

C) Find the Inter Quartile Range (IQR) for IQ scores. Round your response to 2 decimal spots.

Q1:

Q3:

IQR:

The mean load of a fire subterranean insect specialist is 3.11 mg with a standard deviation of 0.49 mg. Allow us to expect that the heaviness of any fire subterranean insect is free from the heaviness of some other fire insect. A common fire insect settlement contains 240,000 fire insect laborers. Assume we take a gander at the heaviness of every subterranean insect in a normal fire insect province. Leave M alone the irregular variable addressing the mean load of all the laborer subterranean insects in the province in mg. Let T = the arbitrary variable addressing the amount of the loads of all the laborer insects in the province in mg.

g) What is the rough likelihood M is somewhere in the range of 3.111 and 3.112?

h) What is the rough likelihood that T is inside 2 standard deviations of its normal worth?

Martian potatoes start to grow rapidly in the wake of planting. Assume X is the quantity of days in the wake of planting until a Martian potato sprouts. At that point X has the accompanying likelihood thickness work: f(x)=

2/7ex

+

3/14ex/2

+

1/14ex/4

for

0 x

also, 0 in any case.

j) What is the likelihood that X is inside 1 standard deviation of its normal worth?

k) What is the likelihood that X = .6?

=18=

Ink Inc., a distributing firm, offers its 899 representatives a cafeteria way to deal with benefits, in which workers can take on their preferred advantage plan. 700 fifteen representatives have health care coverage, 524 have dental protection, and 482 have both wellbeing and dental protection. (Enter your answers as portions.)

(a) What is the likelihood that one of the representatives has either wellbeing or dental protection?

(b) What is the likelihood that one of the representatives has health care coverage however not dental protection?

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