The amount of syrup that people put on their pancakes is normally distributed with mean 59 mL and standard deviation 8 mL. Suppose that 42 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where ossible a. What is the distribution of X? X ~N b. What is the distribution of x? ~N( c. If a single randomly selected individual is observed, find the probability that this person consumes is between 60 mL and 61.5 mL the probability that the average amount mL. d. For the group of 42 pancake eaters, find of syrup is between 60 mL, and 61.5 e. For part d), is the assumption that the distribution is normal necessary? c

In tossing one coin 10 times, what are your chances for tossing a head? a tail? 2. in tossing one coin 100 times, what are your chances for tossing a head? a tail? 3. in tossing one coin 200 times, what are your chances for tossing a head? a tail? deviation = ((absolute value of the difference between expected heads and observed heads) + (absolute value of the difference between expected tails and observed tails)) divided by total number of tosses. this value should always be positive. 4. what is the deviation for 10 tosses? 5. what is the deviation for the 100 tosses? 6. what is the deviation for 200 tosses? 7. how does increasing the total number of coin tosses from 10 to 100 affect the deviation? 8. how does increasing the total number of tosses from 100 to 200 affect the deviation? 9. what two important probability principles were established in this exercise? 10. the percent of occurrence is the obtained results divided by the total tosses and multiplied by 100%. toss the coins 100 times and record your results. calculate the percent occurrence for each combination. percent head-head occurrence: percent tail-tail occurrence: percent head-tail occurrence:

The constant of proportionality is always the where k is the constant of proportionality. additionally, you can find the constant of proportionality by finding the ratio for any point onasap

What is another way to express 36 +32