We can use a random number generator to estimate probabilities that might otherwise be difficult to evaluate. Consider the probability of obtaining four heads on four flips. Generate four separate random experiments of 0s and 1s representing N trials each. (You can do this by generating an Nx4 random array rather than an Nx1 array as in #1.) Now look at the corresponding rows and determine what percentage of the time all four coin flips across a row are heads (all entries equal 1). Show how you do this in MATLAB. Report the percentage with N=10,000 and 100,000, and compare this to the expected percentage.

Write a function so that the main0 code below can be replaced by the simpler code that calls function mphandminutes tomiles0. original main0 int main) l double milesperhour-70.0; double minutestraveled = 100.0; double hourstraveled; double milestraveled; hourstraveled = minutestraveled / 60.0; milestraveled = hourstraveled * milesperhour; cout < "miles" 2 using namespace std; 4 /* your solution goes here/ 6 int maino 1 test passed 7 double milesperhour 70.0 all tests passed 8 double minutestraveled 100.0; 10 cout < < "miles: " < < mphandminutestomiles(milesper-hour, minutestraveled) < < endl; 12 return 0; 13

Acompany is hiring professionals for web designing. the firm is small with few resources. they want employees who possess problem-solving skills and can independently carry out responsibilities. which kind of employee should they select?

The output voltage of a power supply is assumed to be normally distributed. sixteen observations are taken at random on voltage are as follows: 10.35, 9.30, 10.00, 9.96, 11.65, 12.00, 11.25, 9.58, 11.54, 9.95, 10.28, 8.37, 10.44, 9.25, 9.38, and 10.85