Abinomial event has n = 50 trials. the probability of success for each trial is 0.60. let x be the number of successes of the event during the 50 trials. what are μx and σx?
30 and 3.4641
30 and 5.4772
20 and 3.4641
20 and 5.4772
50 and 3.4641

30 and 3.4641

Step-by-step explanation:

The mean of a binomial distribution is:

μ = np

And the standard deviation of a binomial distribution is:

σ = √(npq)

Here, n = 50, p = 0.60, and q = 0.40.

μ = np = 50 × 0.60 = 30

σ = √(npq) = √(50 × 0.60 × 0.40) = 3.4641

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.