Samples of laboratory glass are in small, light packaging or heavy, large packaging. suppose that 2% and 1% of the sample shipped in small and large packages, respectively, break during transit. if 53% of the samples are shipped in large packages and 47% are shipped in small packages, what proportion of samples break during shipment? round your answer to four decimal places (e. g. 98.7654).

Our required probability is 0.0153.

Step-by-step explanation:

Since we have given that

probability of sample shipped in small packages P(S) = 53% = 0.53

Probability of sample shipped in large packages P(L) = 47% = 0.47

Probability of sample in small break during transit P(S|B)= 2%=0.02

Probability of sample in large break during transit P(L|B) = 1% = 0.01

so, According to bayes theorem, we get that

Proportion of samples break during shipment is given by

Hence, our required probability is 0.0153.

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: