The probability of an event is 20%. how many times should you expect the event to occur in the given number of trials?
1.15 trials
2. 40 trials
3. 75 trials
4. 120 trials
To calculate the expected number of occurrences for an event, you need to multiply the probability of the event by the total number of trials.
Let's calculate for each option:
1. For 1.15 trials:
Expected number = Probability (20%) x Number of trials (1.15)
Expected number = 0.2 x 1.15 = 0.23
2. For 40 trials:
Expected number = Probability (20%) x Number of trials (40)
Expected number = 0.2 x 40 = 8
3. For 75 trials:
Expected number = Probability (20%) x Number of trials (75)
Expected number = 0.2 x 75 = 15
4. For 120 trials:
Expected number = Probability (20%) x Number of trials (120)
Expected number = 0.2 x 120 = 24
So, the expected number of occurrences for each option would be:
1. 0.23 occurrences
2. 8 occurrences
3. 15 occurrences
4. 24 occurrences
Thus, the answer is:
The event should be expected to occur:
1. 0.23 times in 1.15 trials,
2. 8 times in 40 trials,
3. 15 times in 75 trials,
4. 24 times in 120 trials.