Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Answer: 0.6672
Explanation:
Let x be a random variable representing the weights of the cars. Since they are normally distributed and the population standard deviation is known, we would calculate the z score by applying the formula,
z = (x - μ)/σ
where
x is the sample size
μ = population mean
σ = population standard deviation
We want to find P(2800 < x < 4500)
From the information,
μ = 3550
σ = 870
For x = 2800,
z = (2800 - 3550)/870 = - 0.86
From the normal distribution table, the area under z = - 0.86 is 0.1949
For x = 4500,
z = (4500 - 3550)/870 = 1.09
From the normal distribution table, the area under z = 1.09 is 0.8621
Thus,
P(2800 < x < 4500) = 0.8621 - 0.1949 = 0.6672
the approximate probability that the weight of a randomly selected car passing over the bridge is between 2,800 and 4,500 pounds is 0.6672
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
