Search & Filtering
1) Traffic lights with a turning arrow are red 60% of the time. If you approach 5 lights in a row, find the probability of stopping:
a. Exactly three times.
b. At least two times.
the head of the math department claims that the mean height of grade 7 students is 163 cm. the mean height of randomly selected grade 7 students is 161 cm. Using 0.05 significance level can it be concluded that the mean height of grade 7 students is shorter than 163 cm? Provide step by step solution briefly.
16. For each of the following, write the probability in symbolic form and give the answer.
a) The probability that a female student is in the band but does not have a drivers’ license.
b) The probability that a female student has a drivers’ license but is not in the band.
c) The probability that a female student is not in the band and does not have a drivers’ license.
d) The probability that a female student is in the band or has a drivers’ license.
one hundred pieces of a certain yarn were tested for strength, the mean value of the test results being 60N and their standard deviation 3N. calculate 95% confidence limits for the true mean strength of the yarn. if it was required to estimate the true mean correct to 1/2N . how many tests should be testes should be performed?
1. Two balls are drawn in succession without replacement from an urn containing
2 green balls and 6 yellow balls. Let M be the random variable representing the
number of yellow balls.
a. What are the possible values of this random variable (range space)?
b. Construct a probability distribution.
There are 680 female students on the roster at Neil Armstrong High School. Out of these 680 female students, 68 are in the band and 187 have a drivers’ license. 51 female students have a drivers’ license and are in the band.
11. How can you tell that this information can be represented with a Venn diagram?
12. What is the probability of a female student being in the band?
13. What is the probability of a female student having her drivers’ license?
14. What is the probability of a female student having her drivers’ license and being in the band?
Two balls are drawn in succession without replacement from an urn containing
2 green balls and 6 yellow balls. Let M be the random variable representing the
number of yellow balls.
a company makes raincoat and claim that 95%of its coats will pass a standard waterproof test. fifty coats are chosen at random from the production line, assuming that the firm's claim is correct, find a) the average number of coats that would be expected to fail; b) the probability that more than one coat will fall the test
The maximum weight that an elevator in an apartment complex can accommodate is 800kg.
The average adult weight be about 70 kgs with a variance of 200. What is the probability
that the lift safely reaches the ground when there are 10 adults in the lift?
The maximum weight that an elevator in an apartment complex can accommodate is 800kg.
The average adult weight be about 70 kgs with a variance of 200. What is the probability
that the lift safely reaches the ground when there are 10 adults in the lift?
