Discrete vs. Continuous Variables, assignment help

8)Discrete vs. Continuous VariablesIf avariablecan take on any value between two specified values, it is called acontinuous variable; otherwise, it is called adiscrete variable.Some examples will clarify the difference between discrete and continuous variables. Suppose the fire department mandates that all fire fighters must weigh between 150 and 250 pounds. The weight of a fire fighter would be an example of a continuous variable; since a fire fighter's weight could take on any value between 150 and 250 pounds. Suppose we flip a coin and count the number of heads. The number of heads could be any integer value between 0 and plus infinity. However, it could not be any number between 0 and plus infinity. We could not, for example, get 2.5 heads. Therefore, the number of heads must be a discrete variable.12)what does the sum equal to? Is it between 0 and 1?16)the sum would need to be = 1 so add all and subtract from 120 a)resource:http://stattrek.com/probability-distributions/discrete-continuous.aspx?Tutorial=Stat c)mean = add all the data in question/ number of data valueshttp://www.purplemath.com/modules/meanmode.htm d)standard deviation:https://www.mathsisfun.com/data/standard-deviation-calculator.html  e) P(8) = ?Section 6.210)resource: Abinomial experimentis astatistical experimentthat has the following properties: The experiment consists ofnrepeated trials. Each trial can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure. The probability of success, denoted byP, is the same on every trial. The trials areindependent; that is, the outcome on one trial does not affect the outcome on other trials.36) a.note that there are 4 requirements that can be met - see above resourceb n = 10; p= 0.9; and x = 8 find P(8) =? c.the probability data and interpretationd.p(x> = 8) 1 - P(x<8) = ?e. P( 7 <= X <+ 9) = P(7)+P(8)+P(9) = ?Section 7.126)What value is in the center? This would be u = ?standard deviation- The distance to the inflection points is = ? This value would be36) a)the interpretation for the .3309 value b)the interpretation for .1107 valueSection 7.220) Use Table V in the book. The area to the right of the unknown z-score is = ? So, the area to the left is 1 - ?24)P(x> 65) = 1 - (the value of the area to the left of the z-score).Find the z-score = x - u / 28) From Table V: Area to the left of z1 = 0.86 = ? and the area to the left of z2 = 2.57 is ? Then take both values and subtract them.34)FromTable V find the area closest to 0.90 = ? What's the corresponding z-score = ? 90th percentile for X is x = u +z *= ?Section 7.4 resource for this section:https://www.ltcconline.net/greenl/courses/201/probdist/NormalAreaBinomial.htm22)a) P(80) = ?  b) P( X  80) = ?c)  P(X<70) = ?  d) P( 70  X  90) = ?28) a.P(X  20) = P(X  19.5) = ? b Ispart a unusual?