Question

In: Statistics and Probability

The weight of football players is normally distributed with a mean of 90kg and a standard...

The weight of football players is normally distributed with a mean of 90kg and a standard deviation of 10 kg what is the probability that in a team of 12 players the average weight is less than 85 kg

Solutions

Expert Solution


Related Solutions

The weight of football players in the NFL is normally distributed with a mean of 200...
The weight of football players in the NFL is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. 1. What is the probability that a randomly selected football player will weigh more than 243.75 pounds? a. 0.4599 b. 0.0401 c. 0.9599 d. 0.5401 2. What is the probability that a football player will weigh less than 260 pounds? a. 0.9918 b. 0.0528 c. 0.4918 d. 0.0082 3. What percentage of players will weigh between...
The weight of football players in the NFL is normally distributed with a mean of 200...
The weight of football players in the NFL is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. A) What is the probability that a randomly selected football player will weigh more than 243.75 pounds? B) What is the probability that a football player will weigh less than 260 pounds? C) What percentage of players will weigh between 150 to 250 pounds? D) 95% of player weights are less than X pounds. Therefore X...
4. The weights of professional rugby players are normally distributed with mean weight 92 kilograms and...
4. The weights of professional rugby players are normally distributed with mean weight 92 kilograms and standard deviation 12.8 kilograms. (a) Find the probability that a randomly selected professional rugby player weighs less than 80 kilograms. (b) Find the probability that a randomly selected professional rugby player weighs over 110 kilograms. (c) Find the probability that a professional rugby player weighs between 80 and 100 kilograms. (d) What weight separates the lightest 9% of professional rugby players from the rest?...
Suppose that the weight of seedless watermelons is normally distributed with mean 7 kg. and standard...
Suppose that the weight of seedless watermelons is normally distributed with mean 7 kg. and standard deviation 1.3 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( , ) b. What is the median seedless watermelon weight?  kg. c. What is the Z-score for a seedless watermelon weighing 7.8 kg?   d. What is the probability that a randomly selected...
The weight (kg) of chocolate is normally distributed with population mean ? and population standard deviation...
The weight (kg) of chocolate is normally distributed with population mean ? and population standard deviation 1.2 kg. The manager claimed that the weight of this chocolate is 9.0 kg. We are now doing a hypothesis testing: ?0: ? = 10.1 ?? ?1: ? > 10.1 at 5% significance level and the sample mean is 11.4 kg. (a) (10) Find the least sample size such that the null hypothesis will be rejected. (b) (5) Find the rejection region in term...
Suppose that the weight of seedless watermelons is normally distributed with mean 6.7 kg. and standard...
Suppose that the weight of seedless watermelons is normally distributed with mean 6.7 kg. and standard deviation 1.9 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. What is the median seedless watermelon weight?  kg. c. What is the Z-score for a seedless watermelon weighing 7.4 kg? d. What is the probability that a randomly selected watermelon will...
Suppose that the weight of seedless watermelons is normally distributed with mean 6.1 kg. and standard...
Suppose that the weight of seedless watermelons is normally distributed with mean 6.1 kg. and standard deviation 1.6 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( , ) b. What is the median seedless watermelon weight? kg. c. What is the Z-score for a seedless watermelon weighing 6.8 kg? d. What is the probability that a randomly...
Suppose that the weight of seedless watermelons is normally distributed with mean 6.3 kg. and standard...
Suppose that the weight of seedless watermelons is normally distributed with mean 6.3 kg. and standard deviation 1.1 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( , ) b. What is the median seedless watermelon weight? kg. c. What is the Z-score for a seedless watermelon weighing 6.9 kg? d. What is the probability that a randomly...
Suppose that the weight of seedless watermelons is normally distributed with mean 6.5 kg. and standard...
Suppose that the weight of seedless watermelons is normally distributed with mean 6.5 kg. and standard deviation 1.8 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( , ) b. What is the median seedless watermelon weight? kg. c. What is the Z-score for a seedless watermelon weighing 7.7 kg? d. What is the probability that a randomly...
The weight of hamsters is normally distributed with mean 63.5 g and standard deviation 12.2 g....
The weight of hamsters is normally distributed with mean 63.5 g and standard deviation 12.2 g. A. What is the probability that a randomly selected hamster weighs less than 58.5 g? In order to receive full credit, sketch the density curve, fill in the area and give the appropriate probability notation. (5 points) B. What is the probability that a randomly selected hamster weighs more than 70.7 g? In order to receive full credit, sketch the density curve, fill in...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT