Question

Amy creates a random number generator that is expected to produce the number from 1 to 5 with equal probability.Part A: About how many times would you expect to get an odd number in 200 trials?Part B: Amy conducts 200 trials using her number generator. Her data are shown in the table 1. Based on the trials, old numbers were observed _ times,A. 71B. 80C. 120D. 129Which may indicate that the number generator is _ to generate an odd number than expected A. Less likelyB. More likely

Answer 1

Part A: 120 times

Part B: 129 times, more likely

Step-by-step explanation

Amy conducts the experiment with the random number generator expected to produce the number from 1 to 5 with equal probability.

A. From 1 to 5, there are 3 odd numbers (1, 3 and 5)

This means that the probability of obtaining an odd number in one trial is:

P(odd) = 3/5

So, in 200 trials, you would expect to get an odd number:

N = n * p

where n = number of trials

p = probability of success in one trial

=> N = 3/5 * 200

N = 120

You would expect to get an odd number 120 times.

B. From the data given in the table, we have to add the number of times she obtained an odd number.

That is:

38 + 49 + 42 = 129

Odd numbers are observed 129 times.

This may indicate that the number generator is more likely to generate an odd number.