A hamburger chain found that 65% of all customers use mustard, when they buy hamburgers. If 5 customers randomly selected, what is the probability that none use mustard?
pr(none)=.35^5
Uhhh idk lol
To find the probability that none of the 5 randomly selected customers use mustard, we need to calculate the probability of each customer not using mustard, and then multiply these probabilities together.
Given that 65% of all customers use mustard, the probability that an individual customer does not use mustard would be the complement of 65%, which is 100% - 65% = 35%.
Let's calculate the probability step-by-step:
1. Probability that the first customer does not use mustard: 35% or 0.35
2. Probability that the second customer does not use mustard: again, 35% or 0.35
3. Probability that the third customer does not use mustard: 35% or 0.35
4. Probability that the fourth customer does not use mustard: 35% or 0.35
5. Probability that the fifth customer does not use mustard: once again, 35% or 0.35
Now, let's multiply these probabilities together to find the overall probability that none of the 5 randomly selected customers use mustard:
0.35 x 0.35 x 0.35 x 0.35 x 0.35 = 0.0351 or 3.51%
Therefore, the probability that none of the 5 randomly selected customers use mustard is approximately 3.51%.
To find the probability that none of the 5 randomly selected customers use mustard, we need to first find the probability that a single customer does not use mustard and then raise it to the power of 5 (since we want none of the customers to use mustard).
Let's calculate it step by step:
1. The percentage of customers who use mustard is 65%. Therefore, the percentage of customers who do not use mustard is 100% - 65% = 35%.
2. Convert the percentage of customers who do not use mustard into a decimal by dividing it by 100. So, the probability that a single customer does not use mustard is 35% / 100% = 0.35.
3. Raise this probability to the power of 5 since all 5 customers should not use mustard. Therefore, the probability that none of the 5 customers use mustard is 0.35^5 ≈ 0.027.
Hence, the probability that none of the 5 randomly selected customers use mustard is approximately 0.027, or 2.7%.