According to New Jersey Transit, the 8:00 a.m. weekday train from Princeton to New York City has a 90% chance of arriving on time on a randomly selected day. Suppose this claim is true. Choose 6 days at random. Let Y = the number of days on which the train arrives on time. What is P(Y = 4)? Interpret this value. (0.90)¹ (0.10)². There is a 0.66% probability that exactly 4 of the 6 trains arrive on time. (0.90)4 (0.10)². There is a 0.66% probability that at least 4 of the 6 trains arrive on time. This probability cannot be calculated because this is not a binomial setting. (9)(0.90)+(0.10)². There is a 9.84% probability that at least 4 of the 6 trains arrive on time. O()(0.90)¹ (0.10)². There is a 9.84% probability that exactly 4 of the 6 trains arrive on time.

MATLAB: An Introduction with Applications
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According to New Jersey Transit, the 8:00 a.m. weekday train from Princeton to New York City has a 90% chance of arriving on time on a randomly selected day. Suppose this claim is true. Choose 6 days at random. Let \( Y \) be the number of days on which the train arrives on time.

**What is \( P(Y = 4) \)? Interpret this value.**

- \( (0.90)^4(0.10)^2 \). There is a 0.66% probability that exactly 4 of the 6 trains arrive on time.
- \( (0.90)^4(0.10)^2 \). There is a 0.66% probability that at least 4 of the 6 trains arrive on time.
- This probability cannot be calculated because this is not a binomial setting.
- \( \binom{6}{4}(0.90)^4(0.10)^2 \). There is a 9.84% probability that at least 4 of the 6 trains arrive on time.
- \( \binom{6}{4}(0.90)^4(0.10)^2 \). There is a 9.84% probability that exactly 4 of the 6 trains arrive on time.
Transcribed Image Text:According to New Jersey Transit, the 8:00 a.m. weekday train from Princeton to New York City has a 90% chance of arriving on time on a randomly selected day. Suppose this claim is true. Choose 6 days at random. Let \( Y \) be the number of days on which the train arrives on time. **What is \( P(Y = 4) \)? Interpret this value.** - \( (0.90)^4(0.10)^2 \). There is a 0.66% probability that exactly 4 of the 6 trains arrive on time. - \( (0.90)^4(0.10)^2 \). There is a 0.66% probability that at least 4 of the 6 trains arrive on time. - This probability cannot be calculated because this is not a binomial setting. - \( \binom{6}{4}(0.90)^4(0.10)^2 \). There is a 9.84% probability that at least 4 of the 6 trains arrive on time. - \( \binom{6}{4}(0.90)^4(0.10)^2 \). There is a 9.84% probability that exactly 4 of the 6 trains arrive on time.
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