(1 point) in a study of retention rates of those using the platinum program at jenny craig in may 2001-may 2002, it was found that about 25%25% of those who began the program dropped out in the first four weeks. if we have a random sample of 246 people at the beginning of the program, what is the probability that at least 195 people in the sample will still be in the platinum program after the first four weeks?

The required probability is calculated as 0.052

Solution:

As per the question:

The probability that people dropped out in the first 4 weeks of the program, p = 0.25

The size of the sample, n = 246

Now,

To calculate the Probability of at least 195 people being in the program after first 4 weeks:

              (1)

where

= mean

= standard deviation

X = No. of people still part of the program

Now,

Mean can be given as:

The mean no. of people still part of the program = 246 - 62 = 184

Standard deviation is given by:

where

q = 1 - p = 1 - 0.25 = 0.75

Now, using the appropriate values in eqn (1):

= 1 - P(Z < 1.62)

Using Z-table:

Thus the required probability is calculated as 0.052

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

to have more of what you want like money

step-by-step explanation:

save it by not spending on unnecessary stuff and have more