An article suggests that substrate concentration (mg/cm³) of influent to a reactor is normally distributed with μ = 0.50 and σ = 0.09. (Round your answers to four decimal places.) I USE SALT (a) What is the probability that the concentration exceeds 0.70? (b) What is the probability that the concentration is at most 0.40? (c) How would you characterize the largest 5% of all concentration values? The largest 5% of all concentration values are above mg/cm³. You may need to use the appropriate table in the Appendix of Tables to answer this question.

The acceptable level for insect filth in a certain food item is 5 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 50 ten-gram portions of the food item is obtained and results in a sample mean of x = 5.3 insect fragments per ten-gram portion. Complete parts (a) through (c) below. o: = 0.316 (Round to three decimal places as needed.) (c) What is the probability a simple random sample of 50 ten-gram portions of the food item results in a mean of at least 5.3 insect fragments? P(x 2 5.3) = ||| (Round to four decimal places as needed.)

The acceptable level for insect filth in a certain food item is 5 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 50 ten-gram portions of the food item is obtained and results in a sample mean of x = 5.3 insect fragments per ten-gram portion. Complete parts (a) through (c) below. H = 5 (Round to three decimal places as needed.). o: = 0.316 (Round to three decimal places as needed.) (c) What is the probability a simple random sample of 50 ten-gram portions of the food item results in a mean of at least 5.3 insect fragments? P(x2 5.3) = (Round to four decimal places as needed.)

In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 18 seconds. *Please help me find F,G,H. Please show formulas! a. What is λ? 2 per min b.     What is μ? 1/18*60=3.33 Traffic intensity= λ/μ = 2/3.33= 0.6 18 seconds or 3.33 per minute   c. Find probability of no units in the system. # units in the system= 1-traffic intensity = 1-0.6= 0.4   d. Find average number of units in the system. Average # units in system= λ/μ-λ= 2/3.33-2= 1.5 … 2   e. Find average time in the waiting line. Average time in the waiting line= λ2/μ (μ-λ)= 22/3.33(3.33-2)= 0.903   f. Find average time in the system.     g. Find probability that there is one person waiting.     h. Find probability an arrival will have to wait.