Twenty percent of american households own three or more cars. a random sample of 144 american households is selected. let x be the number of households selected that own three or more cars. using the normal approximation, the probability that at least 34 of the households selected own at least three or more cars is

The probability is 0.163

Explanation:

We will use the normal approximation formula for the calculation. If we have that p = 0.20, n = 144, x = 34. We will use Excel to perform the calculation:

If P(x at least 34) = 1 - P(33 or less)

using the binomial formula we have to:

P(x at least 34) = 1 - binomcdf(n,p,largest x value) = 1 - binomcdf(144,0.2,33) = 0.163

force tends to be low and long diustance masses are high

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards